Best Known (33−7, 33, s)-Nets in Base 64
(33−7, 33, 5592448)-Net over F64 — Constructive and digital
Digital (26, 33, 5592448)-net over F64, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 87382)-net over F64, using
- s-reduction based on digital (0, 0, s)-net over F64 with arbitrarily large s, using
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 1, 87382)-net over F64, using
- s-reduction based on digital (0, 1, s)-net over F64 with arbitrarily large s, using
- digital (0, 1, 87382)-net over F64 (see above)
- digital (0, 1, 87382)-net over F64 (see above)
- digital (0, 1, 87382)-net over F64 (see above)
- digital (2, 4, 87382)-net over F64, using
- s-reduction based on digital (2, 4, 266305)-net over F64, using
- digital (3, 6, 87382)-net over F64, using
- s-reduction based on digital (3, 6, 270402)-net over F64, using
- net defined by OOA [i] based on linear OOA(646, 270402, F64, 3, 3) (dual of [(270402, 3), 811200, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(646, 270402, F64, 2, 3) (dual of [(270402, 2), 540798, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(646, 270402, F64, 3, 3) (dual of [(270402, 3), 811200, 4]-NRT-code), using
- s-reduction based on digital (3, 6, 270402)-net over F64, using
- digital (12, 19, 87382)-net over F64, using
- net defined by OOA [i] based on linear OOA(6419, 87382, F64, 7, 7) (dual of [(87382, 7), 611655, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(6419, 262147, F64, 7) (dual of [262147, 262128, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) with arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- OOA 3-folding and stacking with additional row [i] based on linear OA(6419, 262147, F64, 7) (dual of [262147, 262128, 8]-code), using
- net defined by OOA [i] based on linear OOA(6419, 87382, F64, 7, 7) (dual of [(87382, 7), 611655, 8]-NRT-code), using
- digital (0, 0, 87382)-net over F64, using
(33−7, 33, 5592575)-Net in Base 64 — Constructive
(26, 33, 5592575)-net in base 64, using
- 641 times duplication [i] based on (25, 32, 5592575)-net in base 64, using
- base change [i] based on digital (17, 24, 5592575)-net over F256, using
- net defined by OOA [i] based on linear OOA(25624, 5592575, F256, 7, 7) (dual of [(5592575, 7), 39148001, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(25624, 5592575, F256, 6, 7) (dual of [(5592575, 6), 33555426, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25624, 5592576, F256, 3, 7) (dual of [(5592576, 3), 16777704, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2560, s, F256, 3, 0) with arbitrarily large s, using
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
- linear OOA(2561, 21846, F256, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2561, s, F256, 3, 1) with arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(2561, s, F256, 3, 1) with arbitrarily large s, using
- linear OOA(2561, 21846, F256, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code) (see above)
- linear OOA(2561, 21846, F256, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code) (see above)
- linear OOA(2561, 21846, F256, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code) (see above)
- linear OOA(2563, 21846, F256, 3, 2) (dual of [(21846, 3), 65535, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 65793, F256, 3, 2) (dual of [(65793, 3), 197376, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2563, 65793, F256, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
- appending kth column [i] based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- Hamming code H(3,256) [i]
- appending kth column [i] based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(2563, 65793, F256, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 65793, F256, 3, 2) (dual of [(65793, 3), 197376, 3]-NRT-code), using
- linear OOA(2564, 21846, F256, 3, 3) (dual of [(21846, 3), 65534, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2564, 65536, F256, 3, 3) (dual of [(65536, 3), 196604, 4]-NRT-code), using
- linear OOA(25613, 21846, F256, 3, 7) (dual of [(21846, 3), 65525, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25613, 65538, F256, 7) (dual of [65538, 65525, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(25613, 65536, F256, 7) (dual of [65536, 65523, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) with arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- OOA 3-folding [i] based on linear OA(25613, 65538, F256, 7) (dual of [65538, 65525, 8]-code), using
- linear OOA(2560, 21846, F256, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(25624, 5592576, F256, 3, 7) (dual of [(5592576, 3), 16777704, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(25624, 5592575, F256, 6, 7) (dual of [(5592575, 6), 33555426, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(25624, 5592575, F256, 7, 7) (dual of [(5592575, 7), 39148001, 8]-NRT-code), using
- base change [i] based on digital (17, 24, 5592575)-net over F256, using
(33−7, 33, large)-Net over F64 — Digital
Digital (26, 33, large)-net over F64, using
- t-expansion [i] based on digital (24, 33, large)-net over F64, using
- embedding of OOA with Gilbert–VarÅ¡amov bound [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- embedding of OOA with Gilbert–VarÅ¡amov bound [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
(33−7, 33, large)-Net in Base 64 — Upper bound on s
There is no (26, 33, large)-net in base 64, because
- 5 times m-reduction [i] would yield (26, 28, large)-net in base 64, but