Information on Result #670428
Linear OA(8159, 531558, F81, 17) (dual of [531558, 531499, 18]-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(8149, 531442, F81, 17) (dual of [531442, 531393, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(8159, 177186, F81, 3, 17) (dual of [(177186, 3), 531499, 18]-NRT-code) | [i] | OOA Folding |