Information on Result #625158
Linear OA(498, large, F49, 3) (dual of [large, large−8, 4]-code), using doubling the cap based on linear OA(497, 5769603, F49, 3) (dual of [5769603, 5769596, 4]-code or 5769603-cap in PG(6,49)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(499, large, F49, 3) (dual of [large, large−9, 4]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4910, large, F49, 3) (dual of [large, large−10, 4]-code) | [i] | ||
| 3 | Linear OA(4912, large, F49, 3) (dual of [large, large−12, 4]-code) | [i] | ||
| 4 | Linear OA(4913, large, F49, 3) (dual of [large, large−13, 4]-code) | [i] | ||
| 5 | Linear OA(4914, large, F49, 3) (dual of [large, large−14, 4]-code) | [i] | ||
| 6 | Linear OA(4915, large, F49, 3) (dual of [large, large−15, 4]-code) | [i] | ||
| 7 | Linear OA(4917, large, F49, 3) (dual of [large, large−17, 4]-code) | [i] | ||
| 8 | Linear OA(4918, large, F49, 3) (dual of [large, large−18, 4]-code) | [i] | ||
| 9 | Linear OA(4919, large, F49, 3) (dual of [large, large−19, 4]-code) | [i] | ||
| 10 | Linear OA(4920, large, F49, 3) (dual of [large, large−20, 4]-code) | [i] | ||
| 11 | Linear OA(4922, large, F49, 3) (dual of [large, large−22, 4]-code) | [i] | ||
| 12 | Linear OA(4923, large, F49, 3) (dual of [large, large−23, 4]-code) | [i] | ||
| 13 | Linear OA(4924, large, F49, 3) (dual of [large, large−24, 4]-code) | [i] | ||
| 14 | Linear OA(4925, large, F49, 3) (dual of [large, large−25, 4]-code) | [i] | ||
| 15 | Linear OA(4927, large, F49, 3) (dual of [large, large−27, 4]-code) | [i] | ||
| 16 | Linear OA(4928, large, F49, 3) (dual of [large, large−28, 4]-code) | [i] | ||
| 17 | Linear OA(4929, large, F49, 3) (dual of [large, large−29, 4]-code) | [i] | ||
| 18 | Linear OA(4930, large, F49, 3) (dual of [large, large−30, 4]-code) | [i] | ||
| 19 | Linear OA(4932, large, F49, 3) (dual of [large, large−32, 4]-code) | [i] | ||
| 20 | Linear OA(4933, large, F49, 3) (dual of [large, large−33, 4]-code) | [i] | ||
| 21 | Linear OA(4934, large, F49, 3) (dual of [large, large−34, 4]-code) | [i] | ||
| 22 | Linear OA(4935, large, F49, 3) (dual of [large, large−35, 4]-code) | [i] | ||
| 23 | Linear OA(4937, large, F49, 3) (dual of [large, large−37, 4]-code) | [i] | ||
| 24 | Linear OA(4938, large, F49, 3) (dual of [large, large−38, 4]-code) | [i] | ||
| 25 | Linear OA(4939, large, F49, 3) (dual of [large, large−39, 4]-code) | [i] | ||
| 26 | Linear OA(4940, large, F49, 3) (dual of [large, large−40, 4]-code) | [i] | ||
| 27 | Linear OA(4942, large, F49, 3) (dual of [large, large−42, 4]-code) | [i] | ||
| 28 | Linear OA(4943, large, F49, 3) (dual of [large, large−43, 4]-code) | [i] | ||
| 29 | Linear OA(4944, large, F49, 3) (dual of [large, large−44, 4]-code) | [i] | ||
| 30 | Linear OA(4945, large, F49, 3) (dual of [large, large−45, 4]-code) | [i] | ||
| 31 | Linear OA(4947, large, F49, 3) (dual of [large, large−47, 4]-code) | [i] | ||
| 32 | Linear OA(4948, large, F49, 3) (dual of [large, large−48, 4]-code) | [i] | ||
| 33 | Linear OA(4949, large, F49, 3) (dual of [large, large−49, 4]-code) | [i] | ||
| 34 | Linear OA(4950, large, F49, 3) (dual of [large, large−50, 4]-code) | [i] | ||
| 35 | Linear OA(4952, large, F49, 3) (dual of [large, large−52, 4]-code) | [i] | ||
| 36 | Linear OA(4953, large, F49, 3) (dual of [large, large−53, 4]-code) | [i] | ||
| 37 | Linear OA(4954, large, F49, 3) (dual of [large, large−54, 4]-code) | [i] | ||
| 38 | Linear OA(4955, large, F49, 3) (dual of [large, large−55, 4]-code) | [i] | ||
| 39 | Linear OOA(498, large, F49, 2, 3) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 40 | Linear OOA(498, 8388602, F49, 3, 3) (dual of [(8388602, 3), 25165798, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |