Information on Result #1485936
Linear OOA(5128, 1788, F5, 3, 30) (dual of [(1788, 3), 5236, 31]-NRT-code), using OOA 2-folding based on linear OOA(5128, 3576, F5, 2, 30) (dual of [(3576, 2), 7024, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5128, 3577, F5, 2, 30) (dual of [(3577, 2), 7026, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5128, 3577, F5, 30) (dual of [3577, 3449, 31]-code), using
- 444 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 19 times 0, 1, 42 times 0, 1, 78 times 0, 1, 124 times 0, 1, 164 times 0) [i] based on linear OA(5120, 3125, F5, 30) (dual of [3125, 3005, 31]-code), using
- 1 times truncation [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]
- 1 times truncation [i] based on linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
- 444 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 19 times 0, 1, 42 times 0, 1, 78 times 0, 1, 124 times 0, 1, 164 times 0) [i] based on linear OA(5120, 3125, F5, 30) (dual of [3125, 3005, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5128, 3577, F5, 30) (dual of [3577, 3449, 31]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.