Information on Result #1726548
Digital (64, 90, 441)-net over F7, using net defined by OOA based on linear OOA(790, 441, F7, 33, 26) (dual of [(441, 33), 14463, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(790, 2206, F7, 3, 26) (dual of [(2206, 3), 6528, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(790, 2209, F7, 3, 26) (dual of [(2209, 3), 6537, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(790, 2209, F7, 26) (dual of [2209, 2119, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(790, 2410, F7, 26) (dual of [2410, 2320, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(789, 2401, F7, 26) (dual of [2401, 2312, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(71, 9, F7, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(790, 2410, F7, 26) (dual of [2410, 2320, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(790, 2209, F7, 26) (dual of [2209, 2119, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(790, 2209, F7, 3, 26) (dual of [(2209, 3), 6537, 27]-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.