Information on Result #1420523
Linear OOA(469, 2654, F4, 2, 15) (dual of [(2654, 2), 5239, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(469, 2654, F4, 15) (dual of [2654, 2585, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(469, 4110, F4, 15) (dual of [4110, 4041, 16]-code), using
- 1 times code embedding in larger space [i] based on linear OA(468, 4109, F4, 15) (dual of [4109, 4041, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(467, 4096, F4, 15) (dual of [4096, 4029, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(468, 4109, F4, 15) (dual of [4109, 4041, 16]-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.