Information on Result #1479700
Linear OOA(4169, 5969, F4, 3, 31) (dual of [(5969, 3), 17738, 32]-NRT-code), using OOA 2-folding based on linear OOA(4169, 11938, F4, 2, 31) (dual of [(11938, 2), 23707, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4169, 11939, F4, 2, 31) (dual of [(11939, 2), 23709, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4169, 11939, F4, 31) (dual of [11939, 11770, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4169, 16419, F4, 31) (dual of [16419, 16250, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- 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(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(4169, 16419, F4, 31) (dual of [16419, 16250, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4169, 11939, F4, 31) (dual of [11939, 11770, 32]-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.