Information on Result #1317835
Linear OA(3116, 138, F3, 58) (dual of [138, 22, 59]-code), using construction X with Varšamov bound based on
- linear OA(3110, 131, F3, 58) (dual of [131, 21, 59]-code), using
- 3 times truncation [i] based on linear OA(3113, 134, F3, 61) (dual of [134, 21, 62]-code), using
- strength reduction [i] based on linear OA(3113, 134, F3, 62) (dual of [134, 21, 63]-code), using
- a “GraXX†code from Grassl’s database [i]
- strength reduction [i] based on linear OA(3113, 134, F3, 62) (dual of [134, 21, 63]-code), using
- 3 times truncation [i] based on linear OA(3113, 134, F3, 61) (dual of [134, 21, 62]-code), using
- linear OA(3110, 132, F3, 52) (dual of [132, 22, 53]-code), using Gilbert–Varšamov bound and bm = 3110 > Vbs−1(k−1) = 24921 162717 050543 270765 606008 456002 982671 708037 504539 [i]
- linear OA(35, 6, F3, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,3)), using
- dual of repetition code with length 6 [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.