Information on Result #2246777
Linear OA(5134, 152, F5, 85) (dual of [152, 18, 86]-code), using 4 times truncation based on linear OA(5138, 156, F5, 89) (dual of [156, 18, 90]-code), using
- concatenation of two codes [i] based on
- linear OA(2517, 26, F25, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,25)), using
- extended Reed–Solomon code RSe(9,25) [i]
- the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- algebraic-geometric code AG(F,4P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- algebraic-geometric code AG(F, Q+2P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
- linear OA(2517, 26, F25, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,25)), 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 OA(5139, 157, F5, 85) (dual of [157, 18, 86]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5140, 158, F5, 85) (dual of [158, 18, 86]-code) | [i] | ||
| 3 | Linear OA(5137, 156, F5, 85) (dual of [156, 19, 86]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(5134, 76, F5, 2, 85) (dual of [(76, 2), 18, 86]-NRT-code) | [i] | OOA Folding | |