Information on Result #2164031
There is no linear OA(4145, 167, F4, 108) (dual of [167, 22, 109]-code), because 4 times truncation would yield linear OA(4141, 163, F4, 104) (dual of [163, 22, 105]-code), but
- construction Y1 [i] would yield
- OA(4140, 151, S4, 104), but
- 2 times truncation [i] would yield OA(4138, 149, S4, 102), but
- the linear programming bound shows that M ≥ 11 769278 720446 703333 267659 747956 551886 187319 922656 933070 157940 129170 842786 675855 465333 653504 / 85 907459 > 4138 [i]
- 2 times truncation [i] would yield OA(4138, 149, S4, 102), but
- OA(422, 163, S4, 12), but
- the linear programming bound shows that M ≥ 22822 886502 605724 057600 / 1273 153051 > 422 [i]
- OA(4140, 151, S4, 104), but
Mode: Bound (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.