Information on Result #730258
Linear OA(8148, 417, F81, 26) (dual of [417, 369, 27]-code), using construction XX applied to C1 = C([29,53]), C2 = C([28,51]), C3 = C1 + C2 = C([29,51]), and C∩ = C1 ∩ C2 = C([28,53]) based on
- linear OA(8145, 410, F81, 25) (dual of [410, 365, 26]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {29,30,…,53}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8143, 410, F81, 24) (dual of [410, 367, 25]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {28,29,…,51}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8147, 410, F81, 26) (dual of [410, 363, 27]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {28,29,…,53}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8141, 410, F81, 23) (dual of [410, 369, 24]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {29,30,…,51}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 81, F81, 1) (dual of [81, 80, 2]-code), using
- Reed–Solomon code RS(80,81) [i]
- discarding factors / shortening the dual code based on linear OA(811, 81, F81, 1) (dual of [81, 80, 2]-code), using
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-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(8148, 208, F81, 2, 26) (dual of [(208, 2), 368, 27]-NRT-code) | [i] | OOA Folding | |