Information on Result #710675
Linear OA(5118, 337, F5, 38) (dual of [337, 219, 39]-code), using construction XX applied to C1 = C([63,98]), C2 = C([61,94]), C3 = C1 + C2 = C([63,94]), and C∩ = C1 ∩ C2 = C([61,98]) based on
- linear OA(5105, 312, F5, 36) (dual of [312, 207, 37]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,98}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(5101, 312, F5, 34) (dual of [312, 211, 35]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {61,62,…,94}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(5113, 312, F5, 38) (dual of [312, 199, 39]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {61,62,…,98}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(593, 312, F5, 32) (dual of [312, 219, 33]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,94}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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 OOA(5118, 168, F5, 2, 38) (dual of [(168, 2), 218, 39]-NRT-code) | [i] | OOA Folding | |