Information on Result #705140
Linear OA(3194, 778, F3, 45) (dual of [778, 584, 46]-code), using construction XX applied to C1 = C([331,373]), C2 = C([339,376]), C3 = C1 + C2 = C([339,373]), and C∩ = C1 ∩ C2 = C([331,376]) based on
- linear OA(3166, 728, F3, 43) (dual of [728, 562, 44]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,373}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3151, 728, F3, 38) (dual of [728, 577, 39]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,376}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3178, 728, F3, 46) (dual of [728, 550, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,376}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3139, 728, F3, 35) (dual of [728, 589, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,373}, and designed minimum distance d ≥ |I|+1 = 36 [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(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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.