Information on Result #1297229
Linear OA(2112, 169, F2, 34) (dual of [169, 57, 35]-code), using construction X with Varšamov bound based on
- linear OA(2108, 164, F2, 34) (dual of [164, 56, 35]-code), using
- 1 times truncation [i] based on linear OA(2109, 165, F2, 35) (dual of [165, 56, 36]-code), using
- concatenation of two codes [i] based on
- linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2109, 165, F2, 35) (dual of [165, 56, 36]-code), using
- linear OA(2108, 165, F2, 30) (dual of [165, 57, 31]-code), using Gilbert–Varšamov bound and bm = 2108 > Vbs−1(k−1) = 175 119251 965370 568303 270134 354200 [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.