Information on Result #918707
Linear OOA(344, 34, F3, 2, 22) (dual of [(34, 2), 24, 23]-NRT-code), using construction X applied to AG(2;F,31P) ⊂ AG(2;F,38P) based on
- linear OOA(337, 27, F3, 2, 22) (dual of [(27, 2), 17, 23]-NRT-code), using algebraic-geometric NRT-code AG(2;F,31P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(330, 27, F3, 2, 15) (dual of [(27, 2), 24, 16]-NRT-code), using algebraic-geometric NRT-code AG(2;F,38P) [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(344, 34, F3, 2, 21) (dual of [(34, 2), 24, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(346, 35, F3, 2, 22) (dual of [(35, 2), 24, 23]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(344, 17, F3, 4, 22) (dual of [(17, 4), 24, 23]-NRT-code) | [i] | OOA Folding | |