Information on Result #904679
Linear OOA(8168, 3463, F81, 2, 25) (dual of [(3463, 2), 6858, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8119, 182, F81, 2, 12) (dual of [(182, 2), 345, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(816, 82, F81, 2, 6) (dual of [(82, 2), 158, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;158,81) [i]
- linear OOA(8113, 100, F81, 2, 12) (dual of [(100, 2), 187, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,187P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(816, 82, F81, 2, 6) (dual of [(82, 2), 158, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8149, 3281, F81, 2, 25) (dual of [(3281, 2), 6513, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), 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(8168, 1731, F81, 4, 25) (dual of [(1731, 4), 6856, 26]-NRT-code) | [i] | OOA Folding | |