Information on Result #705276
Linear OA(3212, 790, F3, 49) (dual of [790, 578, 50]-code), using construction XX applied to C1 = C([331,374]), C2 = C([339,379]), C3 = C1 + C2 = C([339,374]), and C∩ = C1 ∩ C2 = C([331,379]) based on
- linear OA(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,374}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3163, 728, F3, 41) (dual of [728, 565, 42]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,379}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3190, 728, F3, 49) (dual of [728, 538, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,379}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3145, 728, F3, 36) (dual of [728, 583, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,374}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(315, 37, F3, 7) (dual of [37, 22, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), 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.