Information on Result #1725378
Digital (37, 51, 813)-net over F7, using net defined by OOA based on linear OOA(751, 813, F7, 21, 14) (dual of [(813, 21), 17022, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(751, 2440, F7, 3, 14) (dual of [(2440, 3), 7269, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(751, 2441, F7, 3, 14) (dual of [(2441, 3), 7272, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(751, 2441, F7, 14) (dual of [2441, 2390, 15]-code), using
- 37 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 30 times 0) [i] based on linear OA(748, 2401, F7, 14) (dual of [2401, 2353, 15]-code), using
- 1 times truncation [i] based on linear OA(749, 2402, F7, 15) (dual of [2402, 2353, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(749, 2402, F7, 15) (dual of [2402, 2353, 16]-code), using
- 37 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 30 times 0) [i] based on linear OA(748, 2401, F7, 14) (dual of [2401, 2353, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(751, 2441, F7, 14) (dual of [2441, 2390, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(751, 2441, F7, 3, 14) (dual of [(2441, 3), 7272, 15]-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.