Information on Result #1726496
Digital (67, 92, 714)-net over F7, using net defined by OOA based on linear OOA(792, 714, F7, 27, 25) (dual of [(714, 27), 19186, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(792, 2857, F7, 3, 25) (dual of [(2857, 3), 8479, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(792, 2859, F7, 3, 25) (dual of [(2859, 3), 8485, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(792, 2859, F7, 25) (dual of [2859, 2767, 26]-code), using
- 447 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 11 times 0, 1, 31 times 0, 1, 72 times 0, 1, 133 times 0, 1, 191 times 0) [i] based on linear OA(785, 2405, F7, 25) (dual of [2405, 2320, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(785, 2401, F7, 25) (dual of [2401, 2316, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- 447 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 11 times 0, 1, 31 times 0, 1, 72 times 0, 1, 133 times 0, 1, 191 times 0) [i] based on linear OA(785, 2405, F7, 25) (dual of [2405, 2320, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(792, 2859, F7, 25) (dual of [2859, 2767, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(792, 2859, F7, 3, 25) (dual of [(2859, 3), 8485, 26]-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.