Information on Result #1321548
Linear OA(4112, 146, F4, 57) (dual of [146, 34, 58]-code), using construction X with Varšamov bound based on
- linear OA(4111, 144, F4, 57) (dual of [144, 33, 58]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4107, 138, F4, 57) (dual of [138, 31, 58]-code), using
- 2 times truncation [i] based on linear OA(4109, 140, F4, 59) (dual of [140, 31, 60]-code), using
- a “GraXX†code from Grassl’s database [i]
- 2 times truncation [i] based on linear OA(4109, 140, F4, 59) (dual of [140, 31, 60]-code), using
- linear OA(4107, 140, F4, 54) (dual of [140, 33, 55]-code), using Gilbert–Varšamov bound and bm = 4107 > Vbs−1(k−1) = 22538 989325 818633 214654 149213 039901 536669 753250 441432 080865 958496 [i]
- 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(4107, 138, F4, 57) (dual of [138, 31, 58]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4111, 145, F4, 56) (dual of [145, 34, 57]-code), using Gilbert–Varšamov bound and bm = 4111 > Vbs−1(k−1) = 5 790720 611596 348585 766382 529286 456477 818203 392990 250712 455637 763704 [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.