Information on Result #704529
Linear OA(3127, 764, F3, 30) (dual of [764, 637, 31]-code), using construction XX applied to C1 = C([336,363]), C2 = C([342,365]), C3 = C1 + C2 = C([342,363]), and C∩ = C1 ∩ C2 = C([336,365]) based on
- linear OA(3111, 728, F3, 28) (dual of [728, 617, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,363}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(397, 728, F3, 24) (dual of [728, 631, 25]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,365}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3118, 728, F3, 30) (dual of [728, 610, 31]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,365}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(390, 728, F3, 22) (dual of [728, 638, 23]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,363}, and designed minimum distance d ≥ |I|+1 = 23 [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(31, 8, F3, 1) (dual of [8, 7, 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
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 OA(3128, 765, F3, 30) (dual of [765, 637, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3127, 382, F3, 2, 30) (dual of [(382, 2), 637, 31]-NRT-code) | [i] | OOA Folding | |