Information on Result #2164060
There is no linear OA(4141, 205, F4, 103) (dual of [205, 64, 104]-code), because 1 times truncation would yield linear OA(4140, 204, F4, 102) (dual of [204, 64, 103]-code), but
- construction Y1 [i] would yield
- linear OA(4139, 163, F4, 102) (dual of [163, 24, 103]-code), but
- construction Y1 [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]
- OA(424, 163, S4, 14), but
- discarding factors would yield OA(424, 134, S4, 14), but
- the Rao or (dual) Hamming bound shows that M ≥ 292 368491 029312 > 424 [i]
- discarding factors would yield OA(424, 134, S4, 14), but
- OA(4138, 149, S4, 102), but
- construction Y1 [i] would yield
- OA(464, 204, S4, 41), but
- discarding factors would yield OA(464, 203, S4, 41), but
- the linear programming bound shows that M ≥ 9237 828678 014661 888733 201438 074087 629177 850315 553208 766694 988543 356653 154675 278877 490717 655040 / 25 848321 162508 053807 967718 560003 483887 415061 992757 599441 > 464 [i]
- discarding factors would yield OA(464, 203, S4, 41), but
- linear OA(4139, 163, F4, 102) (dual of [163, 24, 103]-code), 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.