Information on Result #704224
Linear OA(365, 750, F3, 15) (dual of [750, 685, 16]-code), using construction XX applied to C1 = C([351,364]), C2 = C([354,365]), C3 = C1 + C2 = C([354,364]), and C∩ = C1 ∩ C2 = C([351,365]) based on
- linear OA(355, 728, F3, 14) (dual of [728, 673, 15]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {351,352,…,364}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(349, 728, F3, 12) (dual of [728, 679, 13]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {354,355,…,365}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(361, 728, F3, 15) (dual of [728, 667, 16]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {351,352,…,365}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(343, 728, F3, 11) (dual of [728, 685, 12]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {354,355,…,364}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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.