Information on Result #60712

There is no OA(580, 127, S5, 61), because the linear programming bound shows that M ≥ 3534 272221 730880 547258 511745 524357 514879 487167 609946 192606 669762 406320 395189 789074 219532 949427 957646 548748 016357 421875 / 40 493098 117659 814739 055947 504367 858428 910429 601519 845321 465114 > 580

Mode: Bound.

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

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(580, 127, S5, 2, 61) [i]Depth Reduction
2No OOA(580, 127, S5, 3, 61) [i]
3No (19, 80, 127)-net in base 5 [i]Extracting Embedded Orthogonal Array