Information on Result #1297292
Linear OA(2164, 210, F2, 54) (dual of [210, 46, 55]-code), using construction X with Varšamov bound based on
- linear OA(2155, 199, F2, 54) (dual of [199, 44, 55]-code), using
- 1 times truncation [i] based on linear OA(2156, 200, F2, 55) (dual of [200, 44, 56]-code), using
- concatenation of two codes [i] based on
- linear OA(1614, 25, F16, 13) (dual of [25, 11, 14]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 25, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1614, 25, F16, 13) (dual of [25, 11, 14]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2156, 200, F2, 55) (dual of [200, 44, 56]-code), using
- linear OA(2155, 201, F2, 48) (dual of [201, 46, 49]-code), using Gilbert–Varšamov bound and bm = 2155 > Vbs−1(k−1) = 21763 728250 852200 919198 042787 851646 623113 844504 [i]
- linear OA(27, 9, F2, 5) (dual of [9, 2, 6]-code), using
- repeating each code word 3 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 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
- repeating each code word 3 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
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.