Information on Result #1323354
Linear OA(3123, 164, F3, 53) (dual of [164, 41, 54]-code), using construction X with Varšamov bound based on
- linear OA(3120, 159, F3, 53) (dual of [159, 39, 54]-code), using
- 1 times truncation [i] based on linear OA(3121, 160, F3, 54) (dual of [160, 39, 55]-code), using
- linear OA(3120, 161, F3, 51) (dual of [161, 41, 52]-code), using Gilbert–Varšamov bound and bm = 3120 > Vbs−1(k−1) = 1415 014423 588119 628266 013989 213496 002189 235084 635570 813057 [i]
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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.