Information on Result #1480438
Linear OOA(4192, 2373, F4, 3, 40) (dual of [(2373, 3), 6927, 41]-NRT-code), using OOA 2-folding based on linear OOA(4192, 4746, F4, 2, 40) (dual of [(4746, 2), 9300, 41]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4192, 4746, F4, 40) (dual of [4746, 4554, 41]-code), using
- 638 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 32 times 0, 1, 57 times 0, 1, 89 times 0, 1, 120 times 0, 1, 143 times 0, 1, 157 times 0) [i] based on linear OA(4180, 4096, F4, 40) (dual of [4096, 3916, 41]-code), using
- 1 times truncation [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]
- 1 times truncation [i] based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using
- 638 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 32 times 0, 1, 57 times 0, 1, 89 times 0, 1, 120 times 0, 1, 143 times 0, 1, 157 times 0) [i] based on linear OA(4180, 4096, F4, 40) (dual of [4096, 3916, 41]-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.