Information on Result #1726256
Digital (59, 81, 676)-net over F7, using net defined by OOA based on linear OOA(781, 676, F7, 27, 22) (dual of [(676, 27), 18171, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(781, 2705, F7, 3, 22) (dual of [(2705, 3), 8034, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(781, 2706, F7, 3, 22) (dual of [(2706, 3), 8037, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(781, 2706, F7, 22) (dual of [2706, 2625, 23]-code), using
- 297 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 5 times 0, 1, 16 times 0, 1, 39 times 0, 1, 84 times 0, 1, 146 times 0) [i] based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 297 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 5 times 0, 1, 16 times 0, 1, 39 times 0, 1, 84 times 0, 1, 146 times 0) [i] based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(781, 2706, F7, 22) (dual of [2706, 2625, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(781, 2706, F7, 3, 22) (dual of [(2706, 3), 8037, 23]-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.