Information on Result #844330
Linear OOA(8128, 1048584, F8, 2, 21) (dual of [(1048584, 2), 2097040, 22]-NRT-code), using OOA 2-folding based on linear OA(8128, 2097168, F8, 21) (dual of [2097168, 2097040, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(8127, 2097153, F8, 21) (dual of [2097153, 2097026, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(8113, 2097153, F8, 19) (dual of [2097153, 2097040, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(8129, 1048584, F8, 2, 21) (dual of [(1048584, 2), 2097039, 22]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8141, 1048608, F8, 2, 21) (dual of [(1048608, 2), 2097075, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |