Information on Result #2264585
Linear OA(352, 743, F3, 13) (dual of [743, 691, 14]-code), using 1 times code embedding in larger space based on linear OA(351, 742, F3, 13) (dual of [742, 691, 14]-code), using
- construction XX applied to C1 = C([357,367]), C2 = C([355,365]), C3 = C1 + C2 = C([357,365]), and C∩ = C1 ∩ C2 = C([355,367]) [i] based on
- linear OA(343, 728, F3, 11) (dual of [728, 685, 12]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {357,358,…,367}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(343, 728, F3, 11) (dual of [728, 685, 12]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {355,356,…,365}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(349, 728, F3, 13) (dual of [728, 679, 14]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {355,356,…,367}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(337, 728, F3, 9) (dual of [728, 691, 10]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {357,358,…,365}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- 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
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code) (see above)
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.