Information on Result #703655
Linear OA(3150, 271, F3, 49) (dual of [271, 121, 50]-code), using construction XX applied to C1 = C([84,130]), C2 = C([82,124]), C3 = C1 + C2 = C([84,124]), and C∩ = C1 ∩ C2 = C([82,130]) based on
- linear OA(3136, 242, F3, 47) (dual of [242, 106, 48]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,130}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3126, 242, F3, 43) (dual of [242, 116, 44]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,124}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3141, 242, F3, 49) (dual of [242, 101, 50]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,130}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3121, 242, F3, 41) (dual of [242, 121, 42]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,124}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(38, 23, F3, 5) (dual of [23, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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.