Information on Result #938141
Linear OOA(8134, 71, F8, 2, 117) (dual of [(71, 2), 8, 118]-NRT-code), using construction X applied to AG(2;F,10P) ⊂ AG(2;F,20P) 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(8120, 64, F8, 2, 107) (dual of [(64, 2), 8, 108]-NRT-code), using algebraic-geometric NRT-code AG(2;F,20P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(89, 7, F8, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(89, 8, F8, 2, 9) (dual of [(8, 2), 7, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;7,8) [i]
- discarding factors / shortening the dual code based on linear OOA(89, 8, F8, 2, 9) (dual of [(8, 2), 7, 10]-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(8134, 71, F8, 2, 116) (dual of [(71, 2), 8, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8133, 70, F8, 2, 116) (dual of [(70, 2), 7, 117]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(8132, 70, F8, 2, 115) (dual of [(70, 2), 8, 116]-NRT-code) | [i] | ||