Information on Result #609763
Linear OA(493, 50, F49, 3) (dual of [50, 47, 4]-code or 50-arc in PG(2,49) or 50-cap in PG(2,49)), using oval in PG(2, 49)
Mode: Constructive and 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4910, 100, F49, 7) (dual of [100, 90, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4916, 2452, F49, 7) (dual of [2452, 2436, 8]-code) | [i] | ||
| 3 | Linear OA(4922, 117700, F49, 7) (dual of [117700, 117678, 8]-code) | [i] | ||
| 4 | Linear OA(4928, 5764852, F49, 7) (dual of [5764852, 5764824, 8]-code) | [i] | ||
| 5 | Linear OA(4914, 2451, F49, 6) (dual of [2451, 2437, 7]-code) | [i] | ||
| 6 | Linear OA(4919, 117699, F49, 6) (dual of [117699, 117680, 7]-code) | [i] | ||
| 7 | Linear OA(4924, 5764851, F49, 6) (dual of [5764851, 5764827, 7]-code) | [i] | ||
| 8 | Linear OA(4916, 2453, F49, 7) (dual of [2453, 2437, 8]-code) | [i] | ||
| 9 | Linear OA(4922, 117702, F49, 7) (dual of [117702, 117680, 8]-code) | [i] | ||
| 10 | Linear OA(4928, 5764855, F49, 7) (dual of [5764855, 5764827, 8]-code) | [i] | ||
| 11 | Linear OA(4914, 2453, F49, 6) (dual of [2453, 2439, 7]-code) | [i] | ||
| 12 | Linear OA(4919, 117702, F49, 6) (dual of [117702, 117683, 7]-code) | [i] | ||
| 13 | Linear OA(4924, 5764855, F49, 6) (dual of [5764855, 5764831, 7]-code) | [i] | ||
| 14 | Linear OA(4929, 2450, F49, 11) (dual of [2450, 2421, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(4923, 2450, F49, 9) (dual of [2450, 2427, 10]-code) | [i] | ||
| 16 | Linear OA(4916, 2450, F49, 7) (dual of [2450, 2434, 8]-code) | [i] | ||
| 17 | Linear OA(4917, 2453, F49, 7) (dual of [2453, 2436, 8]-code) | [i] | ||
| 18 | Linear OA(4914, 2450, F49, 6) (dual of [2450, 2436, 7]-code) | [i] | ||
| 19 | Linear OA(4929, 2502, F49, 11) (dual of [2502, 2473, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(4939, 117750, F49, 11) (dual of [117750, 117711, 12]-code) | [i] | ||
| 21 | Linear OA(4940, 117753, F49, 11) (dual of [117753, 117713, 12]-code) | [i] | ||
| 22 | Linear OA(4949, 5764902, F49, 11) (dual of [5764902, 5764853, 12]-code) | [i] | ||
| 23 | Linear OA(4950, 5764905, F49, 11) (dual of [5764905, 5764855, 12]-code) | [i] | ||
| 24 | Linear OA(4936, 117749, F49, 10) (dual of [117749, 117713, 11]-code) | [i] | ||
| 25 | Linear OA(4945, 5764901, F49, 10) (dual of [5764901, 5764856, 11]-code) | [i] | ||
| 26 | Linear OA(4932, 117750, F49, 9) (dual of [117750, 117718, 10]-code) | [i] | ||
| 27 | Linear OA(4940, 5764902, F49, 9) (dual of [5764902, 5764862, 10]-code) | [i] | ||
| 28 | Linear OA(4924, 117750, F49, 7) (dual of [117750, 117726, 8]-code) | [i] | ||
| 29 | Linear OA(4930, 5764902, F49, 7) (dual of [5764902, 5764872, 8]-code) | [i] | ||