Information on Result #1297334
Linear OA(2178, 207, F2, 68) (dual of [207, 29, 69]-code), using construction X with Varšamov bound based on
- linear OA(2169, 197, F2, 68) (dual of [197, 28, 69]-code), using
- strength reduction [i] based on linear OA(2169, 197, F2, 69) (dual of [197, 28, 70]-code), using
- adding a parity check bit [i] based on linear OA(2168, 196, F2, 68) (dual of [196, 28, 69]-code), using
- a “XB†code from Grassl’s database [i]
- adding a parity check bit [i] based on linear OA(2168, 196, F2, 68) (dual of [196, 28, 69]-code), using
- strength reduction [i] based on linear OA(2169, 197, F2, 69) (dual of [197, 28, 70]-code), using
- linear OA(2169, 198, F2, 59) (dual of [198, 29, 60]-code), using Gilbert–Varšamov bound and bm = 2169 > Vbs−1(k−1) = 747 457905 576413 981424 938656 316730 325196 821474 043552 [i]
- linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using
- dual of repetition code with length 9 [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.