Information on Result #918706
Linear OOA(345, 34, F3, 2, 23) (dual of [(34, 2), 23, 24]-NRT-code), using construction X applied to AG(2;F,30P) ⊂ AG(2;F,37P) based on
- linear OOA(338, 27, F3, 2, 23) (dual of [(27, 2), 16, 24]-NRT-code), using algebraic-geometric NRT-code AG(2;F,30P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(331, 27, F3, 2, 16) (dual of [(27, 2), 23, 17]-NRT-code), using algebraic-geometric NRT-code AG(2;F,37P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(37, 7, F3, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, 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(345, 34, F3, 2, 22) (dual of [(34, 2), 23, 23]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(347, 35, F3, 2, 23) (dual of [(35, 2), 23, 24]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(345, 17, F3, 4, 23) (dual of [(17, 4), 23, 24]-NRT-code) | [i] | OOA Folding | |