Information on Result #904571
Linear OOA(8152, 3481, F81, 2, 19) (dual of [(3481, 2), 6910, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8115, 200, F81, 2, 9) (dual of [(200, 2), 385, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 100, F81, 2, 4) (dual of [(100, 2), 195, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,195P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8110, 100, F81, 2, 9) (dual of [(100, 2), 190, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,190P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100 (see above)
- linear OOA(815, 100, F81, 2, 4) (dual of [(100, 2), 195, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8137, 3281, F81, 2, 19) (dual of [(3281, 2), 6525, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-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(8152, 1740, F81, 4, 19) (dual of [(1740, 4), 6908, 20]-NRT-code) | [i] | OOA Folding | |