Information on Result #703531
Linear OA(3115, 262, F3, 36) (dual of [262, 147, 37]-code), using construction XX applied to C1 = C([87,120]), C2 = C([90,122]), C3 = C1 + C2 = C([90,120]), and C∩ = C1 ∩ C2 = C([87,122]) based on
- linear OA(3105, 242, F3, 34) (dual of [242, 137, 35]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {87,88,…,120}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3101, 242, F3, 33) (dual of [242, 141, 34]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {90,91,…,122}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3111, 242, F3, 36) (dual of [242, 131, 37]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {87,88,…,122}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(395, 242, F3, 31) (dual of [242, 147, 32]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {90,91,…,120}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- 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.