Information on Result #703479
Linear OA(3128, 289, F3, 36) (dual of [289, 161, 37]-code), using construction XX applied to C1 = C([90,121]), C2 = C([97,125]), C3 = C1 + C2 = C([97,121]), and C∩ = C1 ∩ C2 = C([90,125]) 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(396, 242, F3, 29) (dual of [242, 146, 30]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {97,98,…,125}, and designed minimum distance d ≥ |I|+1 = 30 [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 = {90,91,…,125}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(381, 242, F3, 25) (dual of [242, 161, 26]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {97,98,…,121}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(312, 27, F3, 6) (dual of [27, 15, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 34, F3, 6) (dual of [34, 22, 7]-code), using
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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.