Information on Result #1477389
Linear OOA(3241, 1187, F3, 3, 49) (dual of [(1187, 3), 3320, 50]-NRT-code), using OOA 2-folding based on linear OOA(3241, 2374, F3, 2, 49) (dual of [(2374, 2), 4507, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 2375, F3, 2, 49) (dual of [(2375, 2), 4509, 50]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3241, 2375, F3, 49) (dual of [2375, 2134, 50]-code), using
- 171 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, 1, 20 times 0, 1, 25 times 0, 1, 32 times 0, 1, 38 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]
- 171 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, 1, 20 times 0, 1, 25 times 0, 1, 32 times 0, 1, 38 times 0) [i] based on linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3241, 2375, F3, 49) (dual of [2375, 2134, 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.