Information on Result #1479874
Linear OOA(4214, 28341, F4, 3, 33) (dual of [(28341, 3), 84809, 34]-NRT-code), using OOA 2-folding based on linear OOA(4214, 56682, F4, 2, 33) (dual of [(56682, 2), 113150, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4214, 56683, F4, 2, 33) (dual of [(56683, 2), 113152, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4214, 56683, F4, 33) (dual of [56683, 56469, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4214, 65561, F4, 33) (dual of [65561, 65347, 34]-code), using
- (u, u+v)-construction [i] based on
- linear OA(421, 24, F4, 16) (dual of [24, 3, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 25, F4, 16) (dual of [25, 4, 17]-code), using
- 3 times truncation [i] based on linear OA(424, 28, F4, 19) (dual of [28, 4, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 25, F4, 16) (dual of [25, 4, 17]-code), using
- linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(421, 24, F4, 16) (dual of [24, 3, 17]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4214, 65561, F4, 33) (dual of [65561, 65347, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4214, 56683, F4, 33) (dual of [56683, 56469, 34]-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.