Information on Result #876297
Linear OOA(8125, 4194301, F81, 2, 7) (dual of [(4194301, 2), 8388577, 8]-NRT-code), using OOA 2-folding based on linear OA(8125, 8388602, F81, 7) (dual of [8388602, 8388577, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(8127, 4194302, F81, 2, 7) (dual of [(4194302, 2), 8388577, 8]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8126, 4194301, F81, 2, 7) (dual of [(4194301, 2), 8388576, 8]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(950, 8388602, F9, 2, 7) (dual of [(8388602, 2), 16777154, 8]-NRT-code) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(8128, 4194383, F81, 2, 7) (dual of [(4194383, 2), 8388738, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(8129, 4200863, F81, 2, 7) (dual of [(4200863, 2), 8401697, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(8130, 4210619, F81, 2, 7) (dual of [(4210619, 2), 8421208, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(8131, 4732549, F81, 2, 7) (dual of [(4732549, 2), 9465067, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(8132, 8388602, F81, 2, 7) (dual of [(8388602, 2), 16777172, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(8178, 8388602, F81, 2, 14) (dual of [(8388602, 2), 16777126, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(8182, 8388602, F81, 2, 15) (dual of [(8388602, 2), 16777122, 16]-NRT-code) | [i] | ||