Information on Result #928164
Linear OOA(998, 100, F9, 2, 53) (dual of [(100, 2), 102, 54]-NRT-code), using construction X applied to AG(2;F,92P) ⊂ AG(2;F,118P) based on
- linear OOA(970, 73, F9, 2, 53) (dual of [(73, 2), 76, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,92P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(944, 73, F9, 2, 27) (dual of [(73, 2), 102, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,118P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(928, 27, F9, 2, 25) (dual of [(27, 2), 26, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(928, 28, F9, 2, 25) (dual of [(28, 2), 28, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,30P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,30P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(928, 28, F9, 2, 25) (dual of [(28, 2), 28, 26]-NRT-code), 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 OOA(998, 50, F9, 3, 53) (dual of [(50, 3), 52, 54]-NRT-code) | [i] | OOA Folding | |