Information on Result #1722380
Digital (75, 88, 195331)-net over F5, using net defined by OOA based on linear OOA(588, 195331, F5, 15, 13) (dual of [(195331, 15), 2929877, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(588, 390663, F5, 3, 13) (dual of [(390663, 3), 1171901, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(588, 390664, F5, 3, 13) (dual of [(390664, 3), 1171904, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(588, 390664, F5, 13) (dual of [390664, 390576, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(581, 390625, F5, 13) (dual of [390625, 390544, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(549, 390625, F5, 8) (dual of [390625, 390576, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(57, 39, F5, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(588, 390664, F5, 13) (dual of [390664, 390576, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(588, 390664, F5, 3, 13) (dual of [(390664, 3), 1171904, 14]-NRT-code), using
Mode: 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.