Information on Result #1480102
Linear OOA(4199, 7221, F4, 3, 36) (dual of [(7221, 3), 21464, 37]-NRT-code), using OOA 2-folding based on linear OOA(4199, 14442, F4, 2, 36) (dual of [(14442, 2), 28685, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4199, 14443, F4, 2, 36) (dual of [(14443, 2), 28687, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4199, 14443, F4, 36) (dual of [14443, 14244, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4199, 16421, F4, 36) (dual of [16421, 16222, 37]-code), using
- 1 times truncation [i] based on linear OA(4200, 16422, F4, 37) (dual of [16422, 16222, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [i] based on
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(410, 38, F4, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [i] based on
- 1 times truncation [i] based on linear OA(4200, 16422, F4, 37) (dual of [16422, 16222, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(4199, 16421, F4, 36) (dual of [16421, 16222, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4199, 14443, F4, 36) (dual of [14443, 14244, 37]-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.