Information on Result #1479767
Linear OOA(4157, 2343, F4, 3, 32) (dual of [(2343, 3), 6872, 33]-NRT-code), using OOA 2-folding based on linear OOA(4157, 4686, F4, 2, 32) (dual of [(4686, 2), 9215, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4157, 4687, F4, 2, 32) (dual of [(4687, 2), 9217, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4157, 4687, F4, 32) (dual of [4687, 4530, 33]-code), using
- 578 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 17 times 0, 1, 29 times 0, 1, 46 times 0, 1, 68 times 0, 1, 98 times 0, 1, 130 times 0, 1, 163 times 0) [i] based on linear OA(4144, 4096, F4, 32) (dual of [4096, 3952, 33]-code), using
- 1 times truncation [i] based on linear OA(4145, 4097, F4, 33) (dual of [4097, 3952, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4145, 4097, F4, 33) (dual of [4097, 3952, 34]-code), using
- 578 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 17 times 0, 1, 29 times 0, 1, 46 times 0, 1, 68 times 0, 1, 98 times 0, 1, 130 times 0, 1, 163 times 0) [i] based on linear OA(4144, 4096, F4, 32) (dual of [4096, 3952, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4157, 4687, F4, 32) (dual of [4687, 4530, 33]-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.