Information on Result #1301054
Linear OA(4239, 16436, F4, 43) (dual of [16436, 16197, 44]-code), using construction X with Varšamov bound based on
- linear OA(4235, 16429, F4, 43) (dual of [16429, 16194, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(36) [i] based on
- linear OA(4225, 16384, F4, 43) (dual of [16384, 16159, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(410, 45, F4, 5) (dual of [45, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(42) ⊂ Ce(36) [i] based on
- linear OA(4235, 16432, F4, 41) (dual of [16432, 16197, 42]-code), using Gilbert–Varšamov bound and bm = 4235 > Vbs−1(k−1) = 60 184589 238509 852734 088283 161225 193683 586055 613966 790312 896615 121554 764185 832346 664845 671228 762830 021872 026458 865925 203432 927534 402903 105267 [i]
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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.