Information on Result #1724416
Digital (100, 131, 692)-net over F5, using net defined by OOA based on linear OOA(5131, 692, F5, 33, 31) (dual of [(692, 33), 22705, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5131, 3461, F5, 3, 31) (dual of [(3461, 3), 10252, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5131, 3463, F5, 3, 31) (dual of [(3463, 3), 10258, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5131, 3463, F5, 31) (dual of [3463, 3332, 32]-code), using
- 327 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 7 times 0, 1, 17 times 0, 1, 32 times 0, 1, 54 times 0, 1, 85 times 0, 1, 120 times 0) [i] based on linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 327 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 7 times 0, 1, 17 times 0, 1, 32 times 0, 1, 54 times 0, 1, 85 times 0, 1, 120 times 0) [i] based on linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5131, 3463, F5, 31) (dual of [3463, 3332, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(5131, 3463, F5, 3, 31) (dual of [(3463, 3), 10258, 32]-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.