Information on Result #1300847
Linear OA(4214, 16444, F4, 38) (dual of [16444, 16230, 39]-code), using construction X with Varšamov bound based on
- linear OA(4213, 16442, F4, 38) (dual of [16442, 16229, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(29) [i] based on
- linear OA(4197, 16384, F4, 38) (dual of [16384, 16187, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4155, 16384, F4, 30) (dual of [16384, 16229, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(416, 58, F4, 7) (dual of [58, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
- construction X applied to Ce(37) ⊂ Ce(29) [i] based on
- linear OA(4213, 16443, F4, 37) (dual of [16443, 16230, 38]-code), using Gilbert–Varšamov bound and bm = 4213 > Vbs−1(k−1) = 23 113319 043937 099265 762257 185444 102995 727409 172574 504031 727165 484076 607927 667164 292056 838157 998855 102500 992180 399430 198990 632078 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.