Information on Result #922887
Linear OOA(8158, 87, F8, 2, 127) (dual of [(87, 2), 16, 128]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,29P) based on
- linear OOA(8127, 64, F8, 2, 127) (dual of [(64, 2), 1, 128]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [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(8112, 64, F8, 2, 98) (dual of [(64, 2), 16, 99]-NRT-code), using algebraic-geometric NRT-code AG(2;F,29P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(831, 23, F8, 2, 28) (dual of [(23, 2), 15, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(831, 24, F8, 2, 28) (dual of [(24, 2), 17, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,19P) [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,19P) [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(831, 24, F8, 2, 28) (dual of [(24, 2), 17, 29]-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(8156, 86, F8, 2, 125) (dual of [(86, 2), 16, 126]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(8154, 85, F8, 2, 123) (dual of [(85, 2), 16, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(8152, 84, F8, 2, 121) (dual of [(84, 2), 16, 122]-NRT-code) | [i] | ||
| 4 | Linear OOA(8150, 83, F8, 2, 119) (dual of [(83, 2), 16, 120]-NRT-code) | [i] | ||