Information on Result #1317947
Linear OA(4109, 135, F4, 58) (dual of [135, 26, 59]-code), using construction X with Varšamov bound based on
- linear OA(4106, 131, F4, 58) (dual of [131, 25, 59]-code), using
- discarding factors / shortening the dual code based on linear OA(4106, 136, F4, 58) (dual of [136, 30, 59]-code), using
- 1 times truncation [i] based on linear OA(4107, 137, F4, 59) (dual of [137, 30, 60]-code), using
- a “GraX†code from Grassl’s database [i]
- 1 times truncation [i] based on linear OA(4107, 137, F4, 59) (dual of [137, 30, 60]-code), using
- discarding factors / shortening the dual code based on linear OA(4106, 136, F4, 58) (dual of [136, 30, 59]-code), using
- linear OA(4106, 132, F4, 55) (dual of [132, 26, 56]-code), using Gilbert–Varšamov bound and bm = 4106 > Vbs−1(k−1) = 1905 678212 863924 687229 286942 527513 149299 706748 271261 971809 072096 [i]
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [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.