Information on Result #704476
Linear OA(3122, 774, F3, 28) (dual of [774, 652, 29]-code), using construction XX applied to C1 = C([340,363]), C2 = C([346,367]), C3 = C1 + C2 = C([346,363]), and C∩ = C1 ∩ C2 = C([340,367]) based on
- linear OA(396, 728, F3, 24) (dual of [728, 632, 25]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,363}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(385, 728, F3, 22) (dual of [728, 643, 23]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {346,347,…,367}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,367}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(372, 728, F3, 18) (dual of [728, 656, 19]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {346,347,…,363}, and designed minimum distance d ≥ |I|+1 = 19 [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(35, 18, F3, 3) (dual of [18, 13, 4]-code or 18-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(3122, 387, F3, 2, 28) (dual of [(387, 2), 652, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3122, 258, F3, 3, 28) (dual of [(258, 3), 652, 29]-NRT-code) | [i] | ||