Information on Result #735413
Linear OA(8157, 531564, F81, 16) (dual of [531564, 531507, 17]-code), using (u, u+v)-construction based on
- linear OA(8110, 116, F81, 8) (dual of [116, 106, 9]-code), using
- extended algebraic-geometric code AGe(F,107P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8147, 531448, F81, 16) (dual of [531448, 531401, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
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, 265782, F81, 2, 16) (dual of [(265782, 2), 531507, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8157, 177188, F81, 3, 16) (dual of [(177188, 3), 531507, 17]-NRT-code) | [i] | ||