Information on Result #1477385
Linear OOA(3237, 1120, F3, 3, 49) (dual of [(1120, 3), 3123, 50]-NRT-code), using OOA 2-folding based on linear OOA(3237, 2240, F3, 2, 49) (dual of [(2240, 2), 4243, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3237, 2241, F3, 2, 49) (dual of [(2241, 2), 4245, 50]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3237, 2241, F3, 49) (dual of [2241, 2004, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(3237, 2252, F3, 49) (dual of [2252, 2015, 50]-code), using
- 52 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 7 times 0, 1, 11 times 0, 1, 15 times 0) [i] based on linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- 52 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 7 times 0, 1, 11 times 0, 1, 15 times 0) [i] based on linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(3237, 2252, F3, 49) (dual of [2252, 2015, 50]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3237, 2241, F3, 49) (dual of [2241, 2004, 50]-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.