Information on Result #703321
Linear OA(3100, 277, F3, 27) (dual of [277, 177, 28]-code), using construction XX applied to C1 = C([96,120]), C2 = C([102,122]), C3 = C1 + C2 = C([102,120]), and C∩ = C1 ∩ C2 = C([96,122]) based on
- linear OA(385, 242, F3, 25) (dual of [242, 157, 26]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {96,97,…,120}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(371, 242, F3, 21) (dual of [242, 171, 22]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {102,103,…,122}, and designed minimum distance d ≥ |I|+1 = 22 [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(365, 242, F3, 19) (dual of [242, 177, 20]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {102,103,…,120}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- 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.