Information on Result #681720
Linear OA(4140, 286, F4, 46) (dual of [286, 146, 47]-code), using construction XX applied to Ce(45) ⊂ Ce(40) ⊂ Ce(38) based on
- linear OA(4129, 256, F4, 46) (dual of [256, 127, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4113, 256, F4, 41) (dual of [256, 143, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4109, 256, F4, 39) (dual of [256, 147, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(47, 26, F4, 4) (dual of [26, 19, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [i]
Mode: Constructive and 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.