Information on Result #1536740
Linear OOA(4130, 3394, F4, 3, 28) (dual of [(3394, 3), 10052, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4130, 3394, F4, 28) (dual of [3394, 3264, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4130, 4117, F4, 28) (dual of [4117, 3987, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(24) [i] based on
- linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4109, 4096, F4, 25) (dual of [4096, 3987, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(28) ⊂ Ce(24) [i] based on
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.