Information on Result #551472
There is no linear OOA(2114, 127, F2, 2, 57) (dual of [(127, 2), 140, 58]-NRT-code), because 1 step m-reduction would yield linear OA(2113, 127, F2, 56) (dual of [127, 14, 57]-code), but
- residual code [i] would yield linear OA(257, 70, F2, 28) (dual of [70, 13, 29]-code), but
- adding a parity check bit [i] would yield linear OA(258, 71, F2, 29) (dual of [71, 13, 30]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(2114, 127, F2, 3, 57) (dual of [(127, 3), 267, 58]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2114, 127, F2, 4, 57) (dual of [(127, 4), 394, 58]-NRT-code) | [i] | ||
| 3 | No linear OOA(2114, 127, F2, 5, 57) (dual of [(127, 5), 521, 58]-NRT-code) | [i] | ||
| 4 | No linear OOA(2114, 127, F2, 6, 57) (dual of [(127, 6), 648, 58]-NRT-code) | [i] | ||
| 5 | No linear OOA(2114, 127, F2, 7, 57) (dual of [(127, 7), 775, 58]-NRT-code) | [i] | ||
| 6 | No linear OOA(2114, 127, F2, 8, 57) (dual of [(127, 8), 902, 58]-NRT-code) | [i] | ||