Information on Result #652741
Linear OA(32100, 163, F32, 67) (dual of [163, 63, 68]-code), using construction X applied to AG(F,51P) ⊂ AG(F,73P) based on
- linear OA(3278, 119, F32, 67) (dual of [119, 41, 68]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3256, 119, F32, 45) (dual of [119, 63, 46]-code), using algebraic-geometric code AG(F,73P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3222, 44, F32, 21) (dual of [44, 22, 22]-code), using
- extended algebraic-geometric code AGe(F,22P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(32101, 164, F32, 67) (dual of [164, 63, 68]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(32102, 165, F32, 67) (dual of [165, 63, 68]-code) | [i] | ||
| 3 | Linear OOA(32100, 81, F32, 2, 67) (dual of [(81, 2), 62, 68]-NRT-code) | [i] | OOA Folding | |