Information on Result #1201868
Digital (58, 82, 21861)-net over F64, using net defined by OOA based on linear OOA(6482, 21861, F64, 27, 24) (dual of [(21861, 27), 590165, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6482, 87445, F64, 3, 24) (dual of [(87445, 3), 262253, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 87447, F64, 3, 24) (dual of [(87447, 3), 262259, 25]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6412, 65, F64, 3, 12) (dual of [(65, 3), 183, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;183,64) [i]
- linear OOA(6470, 87382, F64, 3, 24) (dual of [(87382, 3), 262076, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6470, 262146, F64, 24) (dual of [262146, 262076, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(6470, 262147, F64, 24) (dual of [262147, 262077, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(6470, 262147, F64, 24) (dual of [262147, 262077, 25]-code), using
- OOA 3-folding [i] based on linear OA(6470, 262146, F64, 24) (dual of [262146, 262076, 25]-code), using
- linear OOA(6412, 65, F64, 3, 12) (dual of [(65, 3), 183, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6482, 87447, F64, 3, 24) (dual of [(87447, 3), 262259, 25]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.