Information on Result #907062
Linear OOA(8165, 3545, F81, 2, 23) (dual of [(3545, 2), 7025, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8120, 264, F81, 2, 11) (dual of [(264, 2), 508, 12]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 2, 3) (dual of [(82, 2), 161, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;161,81) [i]
- 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(8112, 100, F81, 2, 11) (dual of [(100, 2), 188, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,188P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(813, 82, F81, 2, 3) (dual of [(82, 2), 161, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(8145, 3281, F81, 2, 23) (dual of [(3281, 2), 6517, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-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(8165, 1772, F81, 4, 23) (dual of [(1772, 4), 7023, 24]-NRT-code) | [i] | OOA Folding | |