Information on Result #1300678
Linear OA(4193, 239, F4, 100) (dual of [239, 46, 101]-code), using construction X with Varšamov bound based on
- linear OA(4192, 237, F4, 100) (dual of [237, 45, 101]-code), using
- 3 times truncation [i] based on linear OA(4195, 240, F4, 103) (dual of [240, 45, 104]-code), using
- concatenation of two codes [i] based on
- linear OA(6425, 40, F64, 25) (dual of [40, 15, 26]-code or 40-arc in PG(24,64)), using
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
- Reed–Solomon code RS(39,64) [i]
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- linear OA(6425, 40, F64, 25) (dual of [40, 15, 26]-code or 40-arc in PG(24,64)), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(4195, 240, F4, 103) (dual of [240, 45, 104]-code), using
- linear OA(4192, 238, F4, 99) (dual of [238, 46, 100]-code), using Gilbert–Varšamov bound and bm = 4192 > Vbs−1(k−1) = 24 514792 752342 681856 101058 024083 570197 971037 169721 419506 291789 135403 798214 901148 612640 629300 865268 355566 755110 915130 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.