Information on Result #638106
Linear OA(5112, 130, F5, 71) (dual of [130, 18, 72]-code), using concatenation of two codes 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(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5112, 65, F5, 2, 71) (dual of [(65, 2), 18, 72]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5112, 43, F5, 3, 71) (dual of [(43, 3), 17, 72]-NRT-code) | [i] | ||