Information on Result #1480287
Linear OOA(4238, 21870, F4, 3, 38) (dual of [(21870, 3), 65372, 39]-NRT-code), using OOA 2-folding based on linear OOA(4238, 43740, F4, 2, 38) (dual of [(43740, 2), 87242, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4238, 43741, F4, 2, 38) (dual of [(43741, 2), 87244, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4238, 43741, F4, 38) (dual of [43741, 43503, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4238, 65589, F4, 38) (dual of [65589, 65351, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(413, 53, F4, 6) (dual of [53, 40, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(4238, 65589, F4, 38) (dual of [65589, 65351, 39]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4238, 43741, F4, 38) (dual of [43741, 43503, 39]-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.