Information on Result #547665
There is no linear OA(2526, 75, F25, 25) (dual of [75, 49, 26]-code), because dual of a near-MDS code is again a near-MDS code would yield linear OA(2549, 75, F25, 48) (dual of [75, 26, 49]-code), but
- discarding factors / shortening the dual code would yield linear OA(2549, 52, F25, 48) (dual of [52, 3, 49]-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 OA(2527, 76, F25, 26) (dual of [76, 49, 27]-code) | [i] | Truncation | |
| 2 | No linear OA(2528, 77, F25, 27) (dual of [77, 49, 28]-code) | [i] | ||
| 3 | No linear OA(2529, 78, F25, 28) (dual of [78, 49, 29]-code) | [i] | ||
| 4 | No linear OA(2530, 79, F25, 29) (dual of [79, 49, 30]-code) | [i] | ||
| 5 | No linear OA(2531, 80, F25, 30) (dual of [80, 49, 31]-code) | [i] | ||
| 6 | No linear OA(2532, 81, F25, 31) (dual of [81, 49, 32]-code) | [i] | ||
| 7 | No linear OA(2533, 82, F25, 32) (dual of [82, 49, 33]-code) | [i] | ||
| 8 | No linear OA(2534, 83, F25, 33) (dual of [83, 49, 34]-code) | [i] | ||
| 9 | No linear OA(2535, 84, F25, 34) (dual of [84, 49, 35]-code) | [i] | ||
| 10 | No linear OA(2536, 85, F25, 35) (dual of [85, 49, 36]-code) | [i] | ||
| 11 | No linear OA(2537, 86, F25, 36) (dual of [86, 49, 37]-code) | [i] | ||
| 12 | No linear OA(2538, 87, F25, 37) (dual of [87, 49, 38]-code) | [i] | ||
| 13 | No linear OA(2539, 88, F25, 38) (dual of [88, 49, 39]-code) | [i] | ||
| 14 | No linear OA(2540, 89, F25, 39) (dual of [89, 49, 40]-code) | [i] | ||
| 15 | No linear OA(2541, 90, F25, 40) (dual of [90, 49, 41]-code) | [i] | ||
| 16 | No linear OA(2542, 91, F25, 41) (dual of [91, 49, 42]-code) | [i] | ||
| 17 | No linear OA(2543, 92, F25, 42) (dual of [92, 49, 43]-code) | [i] | ||
| 18 | No linear OA(2544, 93, F25, 43) (dual of [93, 49, 44]-code) | [i] | ||
| 19 | No linear OA(2545, 94, F25, 44) (dual of [94, 49, 45]-code) | [i] | ||
| 20 | No linear OA(2546, 95, F25, 45) (dual of [95, 49, 46]-code) | [i] | ||
| 21 | No linear OA(2547, 96, F25, 46) (dual of [96, 49, 47]-code) | [i] | ||
| 22 | No linear OA(2548, 97, F25, 47) (dual of [97, 49, 48]-code) | [i] | ||
| 23 | No linear OOA(2527, 75, F25, 2, 26) (dual of [(75, 2), 123, 27]-NRT-code) | [i] | m-Reduction for OOAs | |
| 24 | No linear OOA(2528, 75, F25, 2, 27) (dual of [(75, 2), 122, 28]-NRT-code) | [i] | ||
| 25 | No linear OOA(2529, 75, F25, 2, 28) (dual of [(75, 2), 121, 29]-NRT-code) | [i] | ||
| 26 | No linear OOA(2530, 75, F25, 2, 29) (dual of [(75, 2), 120, 30]-NRT-code) | [i] | ||
| 27 | No linear OOA(2531, 75, F25, 2, 30) (dual of [(75, 2), 119, 31]-NRT-code) | [i] | ||
| 28 | No linear OOA(2532, 75, F25, 2, 31) (dual of [(75, 2), 118, 32]-NRT-code) | [i] | ||
| 29 | No linear OOA(2533, 75, F25, 2, 32) (dual of [(75, 2), 117, 33]-NRT-code) | [i] | ||
| 30 | No linear OOA(2534, 75, F25, 2, 33) (dual of [(75, 2), 116, 34]-NRT-code) | [i] | ||
| 31 | No linear OOA(2535, 75, F25, 2, 34) (dual of [(75, 2), 115, 35]-NRT-code) | [i] | ||
| 32 | No linear OOA(2536, 75, F25, 2, 35) (dual of [(75, 2), 114, 36]-NRT-code) | [i] | ||
| 33 | No linear OOA(2537, 75, F25, 2, 36) (dual of [(75, 2), 113, 37]-NRT-code) | [i] | ||
| 34 | No linear OOA(2538, 75, F25, 2, 37) (dual of [(75, 2), 112, 38]-NRT-code) | [i] | ||
| 35 | No linear OOA(2539, 75, F25, 2, 38) (dual of [(75, 2), 111, 39]-NRT-code) | [i] | ||
| 36 | No linear OOA(2540, 75, F25, 2, 39) (dual of [(75, 2), 110, 40]-NRT-code) | [i] | ||
| 37 | No linear OOA(2541, 75, F25, 2, 40) (dual of [(75, 2), 109, 41]-NRT-code) | [i] | ||
| 38 | No linear OOA(2542, 75, F25, 2, 41) (dual of [(75, 2), 108, 42]-NRT-code) | [i] | ||
| 39 | No linear OOA(2543, 75, F25, 2, 42) (dual of [(75, 2), 107, 43]-NRT-code) | [i] | ||
| 40 | No linear OOA(2544, 75, F25, 2, 43) (dual of [(75, 2), 106, 44]-NRT-code) | [i] | ||
| 41 | No linear OOA(2545, 75, F25, 2, 44) (dual of [(75, 2), 105, 45]-NRT-code) | [i] | ||
| 42 | No linear OOA(2546, 75, F25, 2, 45) (dual of [(75, 2), 104, 46]-NRT-code) | [i] | ||
| 43 | No linear OOA(2547, 75, F25, 2, 46) (dual of [(75, 2), 103, 47]-NRT-code) | [i] | ||
| 44 | No linear OOA(2548, 75, F25, 2, 47) (dual of [(75, 2), 102, 48]-NRT-code) | [i] | ||
| 45 | No linear OOA(2526, 75, F25, 2, 25) (dual of [(75, 2), 124, 26]-NRT-code) | [i] | Depth Reduction | |
| 46 | No digital (1, 26, 75)-net over F25 | [i] | Extracting Embedded Orthogonal Array | |