Information on Result #1300004
Linear OA(499, 122, F4, 53) (dual of [122, 23, 54]-code), using construction X with Varšamov bound based on
- linear OA(498, 120, F4, 53) (dual of [120, 22, 54]-code), using
- concatenation of two codes [i] based on
- linear OA(1619, 30, F16, 17) (dual of [30, 11, 18]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [i]
- linear OA(1619, 30, F16, 17) (dual of [30, 11, 18]-code), using
- concatenation of two codes [i] based on
- linear OA(498, 121, F4, 52) (dual of [121, 23, 53]-code), using Gilbert–Varšamov bound and bm = 498 > Vbs−1(k−1) = 71451 097886 149420 703597 612207 365662 183416 808364 212484 421947 [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.