Information on Result #1300481
Linear OA(4174, 4133, F4, 37) (dual of [4133, 3959, 38]-code), using construction X with Varšamov bound based on
- linear OA(4172, 4129, F4, 37) (dual of [4129, 3957, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [i] based on
- linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4139, 4096, F4, 31) (dual of [4096, 3957, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(49, 33, F4, 5) (dual of [33, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [i] based on
- linear OA(4172, 4131, F4, 36) (dual of [4131, 3959, 37]-code), using Gilbert–Varšamov bound and bm = 4172 > Vbs−1(k−1) = 15 197037 713878 908581 474393 175109 348809 579159 728260 615084 176003 241438 482877 507114 265938 407802 448089 391104 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 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.