Information on Result #703537
Linear OA(3136, 282, F3, 41) (dual of [282, 146, 42]-code), using construction XX applied to C1 = C([82,121]), C2 = C([90,122]), C3 = C1 + C2 = C([90,121]), and C∩ = C1 ∩ C2 = C([82,122]) based on
- linear OA(3116, 242, F3, 40) (dual of [242, 126, 41]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,121}, and designed minimum distance d ≥ |I|+1 = 41 [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(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 = {82,83,…,122}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(396, 242, F3, 32) (dual of [242, 146, 33]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {90,91,…,121}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(315, 35, F3, 7) (dual of [35, 20, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- linear OA(30, 5, F3, 0) (dual of [5, 5, 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.