Best Known (24, 30, s)-Nets in Base 64
(24, 30, 5592576)-Net over F64 — Constructive and digital
Digital (24, 30, 5592576)-net over F64, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 87384)-net over F64, using
- s-reduction based on digital (0, 0, s)-net over F64 with arbitrarily large s, using
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 0, 87384)-net over F64 (see above)
- digital (0, 1, 87384)-net over F64, using
- s-reduction based on digital (0, 1, s)-net over F64 with arbitrarily large s, using
- digital (0, 1, 87384)-net over F64 (see above)
- digital (0, 1, 87384)-net over F64 (see above)
- digital (2, 4, 87384)-net over F64, using
- s-reduction based on digital (2, 4, 266305)-net over F64, using
- digital (3, 6, 87384)-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 (11, 17, 87384)-net over F64, using
- net defined by OOA [i] based on linear OOA(6417, 87384, F64, 6, 6) (dual of [(87384, 6), 524287, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(6417, 262152, F64, 6) (dual of [262152, 262135, 7]-code), using
- construction X4 applied to Ce(5) ⊂ Ce(3) [i] based on
- 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(6410, 262144, F64, 4) (dual of [262144, 262134, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(647, 8, F64, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,64)), using
- dual of repetition code with length 8 [i]
- linear OA(641, 8, F64, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, 64, F64, 1) (dual of [64, 63, 2]-code), using
- Reed–Solomon code RS(63,64) [i]
- discarding factors / shortening the dual code based on linear OA(641, 64, F64, 1) (dual of [64, 63, 2]-code), using
- construction X4 applied to Ce(5) ⊂ Ce(3) [i] based on
- OA 3-folding and stacking [i] based on linear OA(6417, 262152, F64, 6) (dual of [262152, 262135, 7]-code), using
- net defined by OOA [i] based on linear OOA(6417, 87384, F64, 6, 6) (dual of [(87384, 6), 524287, 7]-NRT-code), using
- digital (0, 0, 87384)-net over F64, using
(24, 30, 5592831)-Net in Base 64 — Constructive
(24, 30, 5592831)-net in base 64, using
- net defined by OOA [i] based on OOA(6430, 5592831, S64, 9, 6), using
- OOA stacking with additional row [i] based on OOA(6430, 5592832, S64, 3, 6), using
- discarding parts of the base [i] based on linear OOA(25622, 5592832, F256, 3, 6) (dual of [(5592832, 3), 16778474, 7]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 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, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code) (see above)
- linear OOA(2561, 21847, F256, 3, 1) (dual of [(21847, 3), 65540, 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, 21847, F256, 3, 1) (dual of [(21847, 3), 65540, 2]-NRT-code) (see above)
- linear OOA(2561, 21847, F256, 3, 1) (dual of [(21847, 3), 65540, 2]-NRT-code) (see above)
- linear OOA(2563, 21847, F256, 3, 2) (dual of [(21847, 3), 65538, 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, 21847, F256, 3, 3) (dual of [(21847, 3), 65537, 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(25612, 21847, F256, 3, 6) (dual of [(21847, 3), 65529, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25612, 65541, F256, 6) (dual of [65541, 65529, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- 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(2567, 65536, F256, 4) (dual of [65536, 65529, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s (see above)
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- OOA 3-folding [i] based on linear OA(25612, 65541, F256, 6) (dual of [65541, 65529, 7]-code), using
- linear OOA(2560, 21847, F256, 3, 0) (dual of [(21847, 3), 65541, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- discarding parts of the base [i] based on linear OOA(25622, 5592832, F256, 3, 6) (dual of [(5592832, 3), 16778474, 7]-NRT-code), using
- OOA stacking with additional row [i] based on OOA(6430, 5592832, S64, 3, 6), using
(24, 30, large)-Net over F64 — Digital
Digital (24, 30, large)-net over F64, using
- 3 times m-reduction [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
(24, 30, large)-Net in Base 64 — Upper bound on s
There is no (24, 30, large)-net in base 64, because
- 4 times m-reduction [i] would yield (24, 26, large)-net in base 64, but