Information on Result #705826
Linear OA(3229, 749, F3, 59) (dual of [749, 520, 60]-code), using construction XX applied to C1 = C([336,392]), C2 = C([334,388]), C3 = C1 + C2 = C([336,388]), and C∩ = C1 ∩ C2 = C([334,392]) based on
- linear OA(3217, 728, F3, 57) (dual of [728, 511, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,392}, and designed minimum distance d ≥ |I|+1 = 58 [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 = {334,335,…,388}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3223, 728, F3, 59) (dual of [728, 505, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,392}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(3208, 728, F3, 53) (dual of [728, 520, 54]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,388}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(35, 14, F3, 3) (dual of [14, 9, 4]-code or 14-cap in PG(4,3)), using
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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.