Information on Result #703557
Linear OA(3121, 259, F3, 39) (dual of [259, 138, 40]-code), using construction XX applied to C1 = C([84,120]), C2 = C([88,122]), C3 = C1 + C2 = C([88,120]), and C∩ = C1 ∩ C2 = C([84,122]) based on
- linear OA(3110, 242, F3, 37) (dual of [242, 132, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,120}, and designed minimum distance d ≥ |I|+1 = 38 [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(3116, 242, F3, 39) (dual of [242, 126, 40]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,122}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3100, 242, F3, 33) (dual of [242, 142, 34]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {88,89,…,120}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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.