Information on Result #918673
Linear OOA(341, 32, F3, 2, 21) (dual of [(32, 2), 23, 22]-NRT-code), using construction X applied to AG(2;F,32P) ⊂ AG(2;F,37P) based on
- linear OOA(336, 27, F3, 2, 21) (dual of [(27, 2), 18, 22]-NRT-code), using algebraic-geometric NRT-code AG(2;F,32P) [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(35, 5, F3, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(35, 10, F3, 4) (dual of [10, 5, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- OOA 2-folding [i] based on linear OA(35, 10, F3, 4) (dual of [10, 5, 5]-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(341, 16, F3, 4, 21) (dual of [(16, 4), 23, 22]-NRT-code) | [i] | OOA Folding | |