Information on Result #704994
Linear OA(3185, 785, F3, 42) (dual of [785, 600, 43]-code), using construction XX applied to C1 = C([337,374]), C2 = C([333,367]), C3 = C1 + C2 = C([337,367]), and C∩ = C1 ∩ C2 = C([333,374]) based on
- 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 = {337,338,…,374}, and designed minimum distance d ≥ |I|+1 = 39 [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 = {333,334,…,367}, 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 = {333,334,…,374}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3121, 728, F3, 31) (dual of [728, 607, 32]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,367}, and designed minimum distance d ≥ |I|+1 = 32 [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(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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.