Information on Result #703415
Linear OA(3123, 283, F3, 35) (dual of [283, 160, 36]-code), using construction XX applied to C1 = C([88,121]), C2 = C([97,122]), C3 = C1 + C2 = C([97,121]), and C∩ = C1 ∩ C2 = C([88,122]) based on
- linear OA(3101, 242, F3, 34) (dual of [242, 141, 35]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {88,89,…,121}, and designed minimum distance d ≥ |I|+1 = 35 [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 = {97,98,…,122}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3106, 242, F3, 35) (dual of [242, 136, 36]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {88,89,…,122}, and designed minimum distance d ≥ |I|+1 = 36 [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(317, 36, F3, 8) (dual of [36, 19, 9]-code), using
- 2 times truncation [i] based on linear OA(319, 38, F3, 10) (dual of [38, 19, 11]-code), using
- extended quadratic residue code Qe(38,3) [i]
- 2 times truncation [i] based on linear OA(319, 38, F3, 10) (dual of [38, 19, 11]-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.