Information on Result #657242
Linear OA(4927, 50, F49, 27) (dual of [50, 23, 28]-code or 50-arc in PG(26,49)), using algebraic-geometric code AG(F,11P) 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(754, 100, F7, 27) (dual of [100, 46, 28]-code) | [i] | Trace Code | |
| 2 | Linear OA(4940, 100, F49, 27) (dual of [100, 60, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(7104, 150, F7, 55) (dual of [150, 46, 56]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(4930, 53, F49, 29) (dual of [53, 23, 30]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 5 | Linear OA(4928, 53, F49, 27) (dual of [53, 25, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4934, 57, F49, 31) (dual of [57, 23, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(4930, 57, F49, 27) (dual of [57, 27, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(4938, 61, F49, 33) (dual of [61, 23, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(4932, 61, F49, 27) (dual of [61, 29, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(4942, 65, F49, 35) (dual of [65, 23, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(4934, 65, F49, 27) (dual of [65, 31, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(4946, 69, F49, 37) (dual of [69, 23, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4936, 69, F49, 27) (dual of [69, 33, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4950, 73, F49, 39) (dual of [73, 23, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(4938, 73, F49, 27) (dual of [73, 35, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(4954, 77, F49, 41) (dual of [77, 23, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(4932, 55, F49, 30) (dual of [55, 23, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(4929, 55, F49, 27) (dual of [55, 26, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(4944, 67, F49, 36) (dual of [67, 23, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(4935, 67, F49, 27) (dual of [67, 32, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(4936, 59, F49, 32) (dual of [59, 23, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(4931, 59, F49, 27) (dual of [59, 28, 28]-code) | [i] | ✔ | |