Information on Result #938116
Linear OOA(8138, 71, F8, 2, 127) (dual of [(71, 2), 4, 128]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,12P) 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(8124, 64, F8, 2, 115) (dual of [(64, 2), 4, 116]-NRT-code), using algebraic-geometric NRT-code AG(2;F,12P) 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(811, 7, F8, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, 8, F8, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,8) [i]
- discarding factors / shortening the dual code based on linear OOA(811, 8, F8, 2, 11) (dual of [(8, 2), 5, 12]-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(8136, 70, F8, 2, 125) (dual of [(70, 2), 4, 126]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(8134, 69, F8, 2, 123) (dual of [(69, 2), 4, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(8132, 68, F8, 2, 121) (dual of [(68, 2), 4, 122]-NRT-code) | [i] | ||
| 4 | Linear OOA(8130, 67, F8, 2, 119) (dual of [(67, 2), 4, 120]-NRT-code) | [i] | ||