Information on Result #1480535
Linear OOA(4193, 2170, F4, 3, 41) (dual of [(2170, 3), 6317, 42]-NRT-code), using OOA 2-folding based on linear OOA(4193, 4340, F4, 2, 41) (dual of [(4340, 2), 8487, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4193, 4341, F4, 2, 41) (dual of [(4341, 2), 8489, 42]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4193, 4341, F4, 41) (dual of [4341, 4148, 42]-code), using
- 232 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) [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]
- 232 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) [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(4193, 4341, F4, 41) (dual of [4341, 4148, 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.