Information on Result #1726168
Digital (58, 79, 758)-net over F7, using net defined by OOA based on linear OOA(779, 758, F7, 27, 21) (dual of [(758, 27), 20387, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(779, 3033, F7, 3, 21) (dual of [(3033, 3), 9020, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(779, 3033, F7, 21) (dual of [3033, 2954, 22]-code), using
- 626 step Varšamov–Edel lengthening with (ri) = (2, 4 times 0, 1, 18 times 0, 1, 50 times 0, 1, 108 times 0, 1, 187 times 0, 1, 253 times 0) [i] based on linear OA(772, 2400, F7, 21) (dual of [2400, 2328, 22]-code), using
- 1 times truncation [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]
- 1 times truncation [i] based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- 626 step Varšamov–Edel lengthening with (ri) = (2, 4 times 0, 1, 18 times 0, 1, 50 times 0, 1, 108 times 0, 1, 187 times 0, 1, 253 times 0) [i] based on linear OA(772, 2400, F7, 21) (dual of [2400, 2328, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(779, 3033, F7, 21) (dual of [3033, 2954, 22]-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.