Information on Result #1030807
Linear OOA(341, 30, F3, 3, 22) (dual of [(30, 3), 49, 23]-NRT-code), using construction X applied to AG(3;F,58P) ⊂ AG(3;F,63P) based on
- linear OOA(337, 27, F3, 3, 22) (dual of [(27, 3), 44, 23]-NRT-code), using algebraic-geometric NRT-code AG(3;F,58P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(332, 27, F3, 3, 17) (dual of [(27, 3), 49, 18]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(34, 3, F3, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;5,3) [i]
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(341, 30, F3, 3, 21) (dual of [(30, 3), 49, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(341, 15, F3, 5, 22) (dual of [(15, 5), 34, 23]-NRT-code) | [i] | OOA Folding | |