Information on Result #665971
Linear OA(25103, 15651, F25, 31) (dual of [15651, 15548, 32]-code), using (u, u+v)-construction based on
- linear OA(2515, 26, F25, 15) (dual of [26, 11, 16]-code or 26-arc in PG(14,25)), using
- extended Reed–Solomon code RSe(11,25) [i]
- the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- algebraic-geometric code AG(F,5P) 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 = 4 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(2588, 15625, F25, 31) (dual of [15625, 15537, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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
None.