Information on Result #657234
Linear OA(4935, 50, F49, 35) (dual of [50, 15, 36]-code or 50-arc in PG(34,49)), using algebraic-geometric code AG(F,7P) with degPÂ =Â 2 based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
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
- Extended Reed–Solomon Code [i]
- Expurgated Narrow-Sense BCH-Codes (BCH-Bound) [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(770, 100, F7, 35) (dual of [100, 30, 36]-code) | [i] | Trace Code | |
| 2 | Linear OA(4952, 100, F49, 35) (dual of [100, 48, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4938, 53, F49, 37) (dual of [53, 15, 38]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 4 | Linear OA(4936, 53, F49, 35) (dual of [53, 17, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(4942, 57, F49, 39) (dual of [57, 15, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(4938, 57, F49, 35) (dual of [57, 19, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(4946, 61, F49, 41) (dual of [61, 15, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(4940, 61, F49, 35) (dual of [61, 21, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(4950, 65, F49, 43) (dual of [65, 15, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(4942, 65, F49, 35) (dual of [65, 23, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(4954, 69, F49, 45) (dual of [69, 15, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(4944, 69, F49, 35) (dual of [69, 25, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(4946, 73, F49, 35) (dual of [73, 27, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(4948, 77, F49, 35) (dual of [77, 29, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(4950, 81, F49, 35) (dual of [81, 31, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(4940, 55, F49, 38) (dual of [55, 15, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(4937, 55, F49, 35) (dual of [55, 18, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(4952, 67, F49, 44) (dual of [67, 15, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(4943, 67, F49, 35) (dual of [67, 24, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(4949, 79, F49, 35) (dual of [79, 30, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(4944, 59, F49, 40) (dual of [59, 15, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(4939, 59, F49, 35) (dual of [59, 20, 36]-code) | [i] | ✔ | |