Information on Result #706932
Linear OA(4137, 283, F4, 46) (dual of [283, 146, 47]-code), using construction XX applied to C1 = C([250,38]), C2 = C([0,40]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([250,40]) based on
- linear OA(4125, 255, F4, 44) (dual of [255, 130, 45]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,38}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,40}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(47, 23, F4, 4) (dual of [23, 16, 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, 5, F4, 1) (dual of [5, 4, 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: 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.