Information on Result #1479825
Linear OOA(4129, 579, F4, 3, 33) (dual of [(579, 3), 1608, 34]-NRT-code), using OOA 2-folding based on linear OOA(4129, 1158, F4, 2, 33) (dual of [(1158, 2), 2187, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4129, 1159, F4, 2, 33) (dual of [(1159, 2), 2189, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4129, 1159, F4, 33) (dual of [1159, 1030, 34]-code), using
- 126 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 7 times 0, 1, 13 times 0, 1, 22 times 0, 1, 33 times 0, 1, 40 times 0) [i] based on linear OA(4121, 1025, F4, 33) (dual of [1025, 904, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 126 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 7 times 0, 1, 13 times 0, 1, 22 times 0, 1, 33 times 0, 1, 40 times 0) [i] based on linear OA(4121, 1025, F4, 33) (dual of [1025, 904, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4129, 1159, F4, 33) (dual of [1159, 1030, 34]-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.