Information on Result #1297346
Linear OA(2178, 227, F2, 58) (dual of [227, 49, 59]-code), using construction X with Varšamov bound based on
- linear OA(2175, 223, F2, 58) (dual of [223, 48, 59]-code), using
- 1 times truncation [i] based on linear OA(2176, 224, F2, 59) (dual of [224, 48, 60]-code), using
- concatenation of two codes [i] based on
- linear OA(1616, 28, F16, 14) (dual of [28, 12, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-code), using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1616, 28, F16, 14) (dual of [28, 12, 15]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2176, 224, F2, 59) (dual of [224, 48, 60]-code), using
- linear OA(2175, 224, F2, 55) (dual of [224, 49, 56]-code), using Gilbert–Varšamov bound and bm = 2175 > Vbs−1(k−1) = 36971 226768 234312 297427 977630 312966 110304 019454 846746 [i]
- linear OA(22, 3, F2, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), using
- dual of repetition code with length 3 [i]
- Hamming code H(2,2) [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.