Information on Result #705553
Linear OA(3237, 797, F3, 54) (dual of [797, 560, 55]-code), using construction XX applied to C1 = C([331,379]), C2 = C([339,385]), C3 = C1 + C2 = C([339,379]), and C∩ = C1 ∩ C2 = C([331,385]) based on
- 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(3187, 728, F3, 47) (dual of [728, 541, 48]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,385}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3214, 728, F3, 55) (dual of [728, 514, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,385}, and designed minimum distance d ≥ |I|+1 = 56 [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(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(38, 32, F3, 4) (dual of [32, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 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.