Information on Result #1479276
Linear OOA(4121, 2363, F4, 3, 24) (dual of [(2363, 3), 6968, 25]-NRT-code), using OOA 2-folding based on linear OOA(4121, 4726, F4, 2, 24) (dual of [(4726, 2), 9331, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4121, 4727, F4, 2, 24) (dual of [(4727, 2), 9333, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4121, 4727, F4, 24) (dual of [4727, 4606, 25]-code), using
- 618 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 4 times 0, 1, 9 times 0, 1, 17 times 0, 1, 28 times 0, 1, 44 times 0, 1, 69 times 0, 1, 101 times 0, 1, 143 times 0, 1, 190 times 0) [i] based on linear OA(4108, 4096, F4, 24) (dual of [4096, 3988, 25]-code), using
- 1 times truncation [i] based on linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using
- 618 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 4 times 0, 1, 9 times 0, 1, 17 times 0, 1, 28 times 0, 1, 44 times 0, 1, 69 times 0, 1, 101 times 0, 1, 143 times 0, 1, 190 times 0) [i] based on linear OA(4108, 4096, F4, 24) (dual of [4096, 3988, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4121, 4727, F4, 24) (dual of [4727, 4606, 25]-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.