Information on Result #1480621
Linear OOA(4192, 1954, F4, 3, 42) (dual of [(1954, 3), 5670, 43]-NRT-code), using OOA 2-folding based on linear OOA(4192, 3908, F4, 2, 42) (dual of [(3908, 2), 7624, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4192, 3909, F4, 2, 42) (dual of [(3909, 2), 7626, 43]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4192, 3909, F4, 42) (dual of [3909, 3717, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(4192, 4119, F4, 42) (dual of [4119, 3927, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(37) [i] based on
- linear OA(4187, 4096, F4, 42) (dual of [4096, 3909, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4169, 4096, F4, 38) (dual of [4096, 3927, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(41) ⊂ Ce(37) [i] based on
- discarding factors / shortening the dual code based on linear OA(4192, 4119, F4, 42) (dual of [4119, 3927, 43]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4192, 3909, F4, 42) (dual of [3909, 3717, 43]-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.