Information on Result #1314008
Linear OA(1685, 682, F16, 37) (dual of [682, 597, 38]-code), using 157 step Varšamov–Edel lengthening with (ri) = (4, 1, 0, 1, 4 times 0, 1, 10 times 0, 1, 18 times 0, 1, 30 times 0, 1, 39 times 0, 1, 47 times 0) based on linear OA(1674, 514, F16, 37) (dual of [514, 440, 38]-code), using
- trace code [i] based on linear OA(25637, 257, F256, 37) (dual of [257, 220, 38]-code or 257-arc in PG(36,256)), using
- extended Reed–Solomon code RSe(220,256) [i]
- the expurgated narrow-sense BCH-code C(I) with length 257 | 2562−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- algebraic-geometric code AG(F, Q+108P) 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,73P) with 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+43P) with degQ = 4 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
Mode: 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
None.