Information on Result #957438
Linear OOA(3248, 257, F3, 3, 62) (dual of [(257, 3), 523, 63]-NRT-code), using OOA 3-folding based on linear OA(3248, 771, F3, 62) (dual of [771, 523, 63]-code), using
- construction XX applied to C1 = C([337,394]), C2 = C([333,388]), C3 = C1 + C2 = C([337,388]), and C∩ = C1 ∩ C2 = C([333,394]) [i] based on
- linear OA(3220, 728, F3, 58) (dual of [728, 508, 59]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,394}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(3220, 728, F3, 56) (dual of [728, 508, 57]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,388}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(3235, 728, F3, 62) (dual of [728, 493, 63]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,394}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(3205, 728, F3, 52) (dual of [728, 523, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,388}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(38, 23, F3, 5) (dual of [23, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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.