Information on Result #672154
Linear OA(25634, 66051, F256, 13) (dual of [66051, 66017, 14]-code), using (u, u+v)-construction based on
- linear OA(2569, 514, F256, 6) (dual of [514, 505, 7]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2563, 257, F256, 3) (dual of [257, 254, 4]-code or 257-arc in PG(2,256) or 257-cap in PG(2,256)), using
- extended Reed–Solomon code RSe(254,256) [i]
- algebraic-geometric code AG(F, Q+125P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- algebraic-geometric code AG(F, Q+83P) with degQ = 4 and degPÂ =Â 3 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F, Q+50P) with degQ = 3 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2566, 257, F256, 6) (dual of [257, 251, 7]-code or 257-arc in PG(5,256)), using
- extended Reed–Solomon code RSe(251,256) [i]
- algebraic-geometric code AG(F,125P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F, Q+82P) with degQ = 4 and degPÂ =Â 3 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F,50P) with degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2563, 257, F256, 3) (dual of [257, 254, 4]-code or 257-arc in PG(2,256) or 257-cap in PG(2,256)), using
- (u, u+v)-construction [i] based on
- linear OA(25625, 65537, F256, 13) (dual of [65537, 65512, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(25634, 22017, F256, 3, 13) (dual of [(22017, 3), 66017, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25634, 13210, F256, 5, 13) (dual of [(13210, 5), 66016, 14]-NRT-code) | [i] | ||