Information on Result #548313
There is no linear OA(2114, 123, F2, 58) (dual of [123, 9, 59]-code), because residual code would yield linear OA(256, 64, F2, 29) (dual of [64, 8, 30]-code), but
- 1 times truncation [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- “BJV†bound on codes from Brouwer’s database [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.
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2115, 124, F2, 59) (dual of [124, 9, 60]-code) | [i] | Truncation | |
| 2 | No linear OA(2117, 126, F2, 61) (dual of [126, 9, 62]-code) | [i] | ||
| 3 | No linear OOA(2114, 123, F2, 2, 58) (dual of [(123, 2), 132, 59]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2114, 123, F2, 3, 58) (dual of [(123, 3), 255, 59]-NRT-code) | [i] | ||
| 5 | No linear OOA(2114, 123, F2, 4, 58) (dual of [(123, 4), 378, 59]-NRT-code) | [i] | ||
| 6 | No linear OOA(2114, 123, F2, 5, 58) (dual of [(123, 5), 501, 59]-NRT-code) | [i] | ||
| 7 | No linear OOA(2114, 123, F2, 6, 58) (dual of [(123, 6), 624, 59]-NRT-code) | [i] | ||
| 8 | No linear OOA(2114, 123, F2, 7, 58) (dual of [(123, 7), 747, 59]-NRT-code) | [i] | ||
| 9 | No linear OOA(2114, 123, F2, 8, 58) (dual of [(123, 8), 870, 59]-NRT-code) | [i] | ||
| 10 | No linear OA(2230, 240, F2, 116) (dual of [240, 10, 117]-code) | [i] | Residual Code | |