Information on Result #547967
There is no linear OA(5147, 170, F5, 117) (dual of [170, 23, 118]-code), because construction Y1 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]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(5148, 171, F5, 118) (dual of [171, 23, 119]-code) | [i] | Truncation | |
| 2 | No linear OA(5149, 172, F5, 119) (dual of [172, 23, 120]-code) | [i] | ||