Information on Result #547638
There is no linear OA(2578, 103, F25, 75) (dual of [103, 25, 76]-code), because residual code would yield OA(253, 27, S25, 3), 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 OA(2579, 104, F25, 76) (dual of [104, 25, 77]-code) | [i] | Truncation | |
| 2 | No linear OA(2580, 105, F25, 77) (dual of [105, 25, 78]-code) | [i] | ||
| 3 | No linear OA(2581, 106, F25, 78) (dual of [106, 25, 79]-code) | [i] | ||
| 4 | No linear OA(2582, 107, F25, 79) (dual of [107, 25, 80]-code) | [i] | ||
| 5 | No linear OA(2583, 108, F25, 80) (dual of [108, 25, 81]-code) | [i] | ||
| 6 | No linear OA(2584, 109, F25, 81) (dual of [109, 25, 82]-code) | [i] | ||
| 7 | No linear OA(2585, 110, F25, 82) (dual of [110, 25, 83]-code) | [i] | ||
| 8 | No linear OA(2586, 111, F25, 83) (dual of [111, 25, 84]-code) | [i] | ||
| 9 | No linear OA(2587, 112, F25, 84) (dual of [112, 25, 85]-code) | [i] | ||
| 10 | No linear OA(2588, 113, F25, 85) (dual of [113, 25, 86]-code) | [i] | ||
| 11 | No linear OA(2589, 114, F25, 86) (dual of [114, 25, 87]-code) | [i] | ||
| 12 | No linear OOA(2579, 103, F25, 2, 76) (dual of [(103, 2), 127, 77]-NRT-code) | [i] | m-Reduction for OOAs | |
| 13 | No linear OOA(2580, 103, F25, 2, 77) (dual of [(103, 2), 126, 78]-NRT-code) | [i] | ||
| 14 | No linear OOA(2581, 103, F25, 2, 78) (dual of [(103, 2), 125, 79]-NRT-code) | [i] | ||
| 15 | No linear OOA(2582, 103, F25, 2, 79) (dual of [(103, 2), 124, 80]-NRT-code) | [i] | ||
| 16 | No linear OOA(2583, 103, F25, 2, 80) (dual of [(103, 2), 123, 81]-NRT-code) | [i] | ||
| 17 | No linear OOA(2584, 103, F25, 2, 81) (dual of [(103, 2), 122, 82]-NRT-code) | [i] | ||
| 18 | No linear OOA(2585, 103, F25, 2, 82) (dual of [(103, 2), 121, 83]-NRT-code) | [i] | ||
| 19 | No linear OOA(2586, 103, F25, 2, 83) (dual of [(103, 2), 120, 84]-NRT-code) | [i] | ||
| 20 | No linear OOA(2587, 103, F25, 2, 84) (dual of [(103, 2), 119, 85]-NRT-code) | [i] | ||
| 21 | No linear OOA(2588, 103, F25, 2, 85) (dual of [(103, 2), 118, 86]-NRT-code) | [i] | ||
| 22 | No linear OOA(2589, 103, F25, 2, 86) (dual of [(103, 2), 117, 87]-NRT-code) | [i] | ||
| 23 | No linear OOA(2578, 103, F25, 2, 75) (dual of [(103, 2), 128, 76]-NRT-code) | [i] | Depth Reduction | |
| 24 | No digital (3, 78, 103)-net over F25 | [i] | Extracting Embedded Orthogonal Array | |
| 25 | No linear OA(2570, 148, F25, 67) (dual of [148, 78, 68]-code) | [i] | Construction Y1 (Bound) | |