Information on Result #1317941
Linear OA(499, 125, F4, 52) (dual of [125, 26, 53]-code), using construction X with Varšamov bound based on
- linear OA(498, 123, F4, 52) (dual of [123, 25, 53]-code), using
- discarding factors / shortening the dual code based on linear OA(498, 128, F4, 52) (dual of [128, 30, 53]-code), using
- 5 times truncation [i] based on linear OA(4103, 133, F4, 57) (dual of [133, 30, 58]-code), using
- a “GraCyc†code from Grassl’s database [i]
- 5 times truncation [i] based on linear OA(4103, 133, F4, 57) (dual of [133, 30, 58]-code), using
- discarding factors / shortening the dual code based on linear OA(498, 128, F4, 52) (dual of [128, 30, 53]-code), using
- linear OA(498, 124, F4, 51) (dual of [124, 26, 52]-code), using Gilbert–Varšamov bound and bm = 498 > Vbs−1(k−1) = 82558 685851 305131 289718 517049 669238 904905 176160 583660 410201 [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.