Information on Result #938234
Linear OOA(8144, 79, F8, 2, 118) (dual of [(79, 2), 14, 119]-NRT-code), using construction X applied to AG(2;F,8P) ⊂ AG(2;F,26P) based on
- linear OOA(8126, 64, F8, 2, 119) (dual of [(64, 2), 2, 120]-NRT-code), using algebraic-geometric NRT-code AG(2;F,8P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OOA(8114, 64, F8, 2, 101) (dual of [(64, 2), 14, 102]-NRT-code), using algebraic-geometric NRT-code AG(2;F,26P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(818, 15, F8, 2, 16) (dual of [(15, 2), 12, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(818, 17, F8, 2, 16) (dual of [(17, 2), 16, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(818, 17, F8, 2, 16) (dual of [(17, 2), 16, 17]-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(8142, 78, F8, 2, 116) (dual of [(78, 2), 14, 117]-NRT-code) | [i] | Truncation for OOAs | |