Information on Result #1301888
Linear OA(5142, 161, F5, 89) (dual of [161, 19, 90]-code), using construction X with Varšamov bound based on
- linear OA(5138, 156, F5, 89) (dual of [156, 18, 90]-code), using
- concatenation of two codes [i] 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(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
- linear OA(2517, 26, F25, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,25)), using
- concatenation of two codes [i] based on
- linear OA(5138, 157, F5, 85) (dual of [157, 19, 86]-code), using Gilbert–Varšamov bound and bm = 5138 > Vbs−1(k−1) = 1 925932 428785 108859 528971 472812 266139 315552 472681 366109 095938 470942 303109 924011 219346 153624 388625 [i]
- linear OA(53, 4, F5, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,5) or 4-cap in PG(2,5)), using
- dual of repetition code with length 4 [i]
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.