Information on Result #1478897
Linear OOA(489, 131093, F4, 3, 12) (dual of [(131093, 3), 393190, 13]-NRT-code), using OOA 2-folding based on linear OOA(489, 262186, F4, 2, 12) (dual of [(262186, 2), 524283, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(489, 262187, F4, 2, 12) (dual of [(262187, 2), 524285, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(489, 262187, F4, 12) (dual of [262187, 262098, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(6) [i] based on
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(6) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(489, 262187, F4, 12) (dual of [262187, 262098, 13]-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.