Information on Result #1301129
Linear OA(4251, 16427, F4, 46) (dual of [16427, 16176, 47]-code), using construction X with Varšamov bound based on
- linear OA(4246, 16419, F4, 46) (dual of [16419, 16173, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(40) [i] based on
- linear OA(4239, 16384, F4, 46) (dual of [16384, 16145, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4211, 16384, F4, 41) (dual of [16384, 16173, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(45) ⊂ Ce(40) [i] based on
- linear OA(4246, 16422, F4, 43) (dual of [16422, 16176, 44]-code), using Gilbert–Varšamov bound and bm = 4246 > Vbs−1(k−1) = 82 371801 215414 756826 002876 117989 492942 035256 233453 893455 552430 244881 996226 181376 272934 973346 145029 646430 648706 431606 758891 623024 291476 775508 537344 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
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.