Information on Result #1579818
Linear OOA(3184, 1174, F3, 4, 36) (dual of [(1174, 4), 4512, 37]-NRT-code), using OOA 2-folding based on linear OOA(3184, 2348, F3, 2, 36) (dual of [(2348, 2), 4512, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3184, 2349, F3, 2, 36) (dual of [(2349, 2), 4514, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3184, 2349, F3, 36) (dual of [2349, 2165, 37]-code), using
- 146 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 9 times 0, 1, 12 times 0, 1, 16 times 0, 1, 21 times 0, 1, 27 times 0, 1, 34 times 0) [i] based on linear OA(3168, 2187, F3, 36) (dual of [2187, 2019, 37]-code), using
- 1 times truncation [i] based on linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using
- 146 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 9 times 0, 1, 12 times 0, 1, 16 times 0, 1, 21 times 0, 1, 27 times 0, 1, 34 times 0) [i] based on linear OA(3168, 2187, F3, 36) (dual of [2187, 2019, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3184, 2349, F3, 36) (dual of [2349, 2165, 37]-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.