Information on Result #920706
Linear OOA(598, 84, F5, 2, 53) (dual of [(84, 2), 70, 54]-NRT-code), using construction X applied to AG(2;F,88P) ⊂ AG(2;F,100P) based on
- linear OOA(584, 71, F5, 2, 53) (dual of [(71, 2), 58, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,88P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- linear OOA(572, 71, F5, 2, 41) (dual of [(71, 2), 70, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,100P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72 (see above)
- linear OOA(514, 13, F5, 2, 11) (dual of [(13, 2), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(514, 16, F5, 2, 11) (dual of [(16, 2), 18, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,20P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(514, 16, F5, 2, 11) (dual of [(16, 2), 18, 12]-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(598, 42, F5, 3, 53) (dual of [(42, 3), 28, 54]-NRT-code) | [i] | OOA Folding | |