Information on Result #704998
Linear OA(3187, 791, F3, 42) (dual of [791, 604, 43]-code), using construction XX applied to C1 = C([327,363]), C2 = C([334,368]), C3 = C1 + C2 = C([334,363]), and C∩ = C1 ∩ C2 = C([327,368]) based on
- linear OA(3147, 728, F3, 37) (dual of [728, 581, 38]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {327,328,…,363}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3136, 728, F3, 35) (dual of [728, 592, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,368}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3166, 728, F3, 42) (dual of [728, 562, 43]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {327,328,…,368}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3117, 728, F3, 30) (dual of [728, 611, 31]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,363}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(314, 37, F3, 6) (dual of [37, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- 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]
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.