Information on Result #664878
Linear OA(1688, 579, F16, 33) (dual of [579, 491, 34]-code), using (u, u+v)-construction based on
- linear OA(1622, 65, F16, 16) (dual of [65, 43, 17]-code), using
- extended algebraic-geometric code AGe(F,48P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,48P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1666, 514, F16, 33) (dual of [514, 448, 34]-code), using
- trace code [i] based on linear OA(25633, 257, F256, 33) (dual of [257, 224, 34]-code or 257-arc in PG(32,256)), using
- extended Reed–Solomon code RSe(224,256) [i]
- the expurgated narrow-sense BCH-code C(I) with length 257 | 2562−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- algebraic-geometric code AG(F, Q+110P) 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+73P) 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+44P) with degQ = 3 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- trace code [i] based on linear OA(25633, 257, F256, 33) (dual of [257, 224, 34]-code or 257-arc in PG(32,256)), 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 OOA(1688, 289, F16, 2, 33) (dual of [(289, 2), 490, 34]-NRT-code) | [i] | OOA Folding | |