Information on Result #703431
Linear OA(3109, 265, F3, 33) (dual of [265, 156, 34]-code), using construction XX applied to C1 = C([90,121]), C2 = C([96,122]), C3 = C1 + C2 = C([96,121]), and C∩ = C1 ∩ C2 = C([90,122]) based on
- 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(391, 242, F3, 27) (dual of [242, 151, 28]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {96,97,…,122}, and designed minimum distance d ≥ |I|+1 = 28 [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(386, 242, F3, 26) (dual of [242, 156, 27]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {96,97,…,121}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(38, 18, F3, 5) (dual of [18, 10, 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(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.