Information on Result #1480539
Linear OOA(4197, 2437, F4, 3, 41) (dual of [(2437, 3), 7114, 42]-NRT-code), using OOA 2-folding based on linear OOA(4197, 4874, F4, 2, 41) (dual of [(4874, 2), 9551, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4197, 4875, F4, 2, 41) (dual of [(4875, 2), 9553, 42]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4197, 4875, F4, 41) (dual of [4875, 4678, 42]-code), using
- 762 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 15 times 0, 1, 23 times 0, 1, 37 times 0, 1, 54 times 0, 1, 76 times 0, 1, 101 times 0, 1, 125 times 0, 1, 143 times 0, 1, 157 times 0) [i] based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- 762 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 15 times 0, 1, 23 times 0, 1, 37 times 0, 1, 54 times 0, 1, 76 times 0, 1, 101 times 0, 1, 125 times 0, 1, 143 times 0, 1, 157 times 0) [i] based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4197, 4875, F4, 41) (dual of [4875, 4678, 42]-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.