Information on Result #904613
Linear OOA(8157, 3463, F81, 2, 21) (dual of [(3463, 2), 6869, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8116, 182, F81, 2, 10) (dual of [(182, 2), 348, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;159,81) [i]
- linear OOA(8111, 100, F81, 2, 10) (dual of [(100, 2), 189, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,189P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8141, 3281, F81, 2, 21) (dual of [(3281, 2), 6521, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8141, 6562, F81, 21) (dual of [6562, 6521, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8141, 6562, F81, 21) (dual of [6562, 6521, 22]-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(8157, 1731, F81, 4, 21) (dual of [(1731, 4), 6867, 22]-NRT-code) | [i] | OOA Folding | |