Information on Result #705722
Linear OA(3230, 765, F3, 57) (dual of [765, 535, 58]-code), using construction XX applied to C1 = C([340,392]), C2 = C([336,386]), C3 = C1 + C2 = C([340,386]), and C∩ = C1 ∩ C2 = C([336,392]) based on
- linear OA(3208, 728, F3, 53) (dual of [728, 520, 54]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,392}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3202, 728, F3, 51) (dual of [728, 526, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,386}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3217, 728, F3, 57) (dual of [728, 511, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,392}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(3187, 728, F3, 47) (dual of [728, 541, 48]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,386}, and designed minimum distance d ≥ |I|+1 = 48 [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, 14, F3, 3) (dual of [14, 9, 4]-code or 14-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3230, 255, F3, 3, 57) (dual of [(255, 3), 535, 58]-NRT-code) | [i] | OOA Folding | |