Information on Result #938255
Linear OOA(8147, 82, F8, 2, 117) (dual of [(82, 2), 17, 118]-NRT-code), using construction X applied to AG(2;F,10P) ⊂ AG(2;F,30P) based on
- linear OOA(8125, 64, F8, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) 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(8111, 64, F8, 2, 97) (dual of [(64, 2), 17, 98]-NRT-code), using algebraic-geometric NRT-code AG(2;F,30P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(822, 18, F8, 2, 19) (dual of [(18, 2), 14, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(822, 24, F8, 2, 19) (dual of [(24, 2), 26, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,28P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,28P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(822, 24, F8, 2, 19) (dual of [(24, 2), 26, 20]-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(8147, 82, F8, 2, 116) (dual of [(82, 2), 17, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |