Information on Result #2168493
There is no linear OA(5149, 172, F5, 119) (dual of [172, 23, 120]-code), because 2 times truncation would yield linear OA(5147, 170, F5, 117) (dual of [170, 23, 118]-code), but
- construction Y1 [i] would yield
- OA(5146, 156, S5, 117), but
- 8 times truncation [i] would yield OA(5138, 148, S5, 109), but
- the linear programming bound shows that M ≥ 86 158555 819318 512642 331328 682663 835348 540649 443889 196923 328992 021307 026760 723601 910285 651683 807373 046875 / 29 425011 > 5138 [i]
- 8 times truncation [i] would yield OA(5138, 148, S5, 109), but
- OA(523, 170, S5, 14), but
- the linear programming bound shows that M ≥ 172616 417584 849528 033447 265625 / 14 089096 472569 > 523 [i]
- OA(5146, 156, S5, 117), 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.
Other Results with Identical Parameters
None.
Depending Results
None.