Information on Result #703076
Linear OA(317, 253, F3, 5) (dual of [253, 236, 6]-code), using construction XX applied to C1 = C([118,121]), C2 = C([120,122]), C3 = C1 + C2 = C([120,121]), and C∩ = C1 ∩ C2 = C([118,122]) based on
- linear OA(311, 242, F3, 4) (dual of [242, 231, 5]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {118,119,120,121}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(311, 242, F3, 3) (dual of [242, 231, 4]-code or 242-cap in PG(10,3)), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {120,121,122}, and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(316, 242, F3, 5) (dual of [242, 226, 6]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {118,119,120,121,122}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(36, 242, F3, 2) (dual of [242, 236, 3]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {120,121}, and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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
- 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.