Information on Result #672061
Linear OA(8162, 6744, F81, 23) (dual of [6744, 6682, 24]-code), using (u, u+v)-construction based on
- linear OA(8117, 182, F81, 11) (dual of [182, 165, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(815, 82, F81, 5) (dual of [82, 77, 6]-code or 82-arc in PG(4,81)), using
- extended Reed–Solomon code RSe(77,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(8112, 100, F81, 11) (dual of [100, 88, 12]-code), using
- extended algebraic-geometric code AGe(F,88P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(815, 82, F81, 5) (dual of [82, 77, 6]-code or 82-arc in PG(4,81)), using
- (u, u+v)-construction [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]
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(8162, 3372, F81, 2, 23) (dual of [(3372, 2), 6682, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8162, 2248, F81, 3, 23) (dual of [(2248, 3), 6682, 24]-NRT-code) | [i] | ||