Information on Result #658632
Linear OA(1670, 80, F16, 58) (dual of [80, 10, 59]-code), using construction X applied to AG(F,5P) ⊂ AG(F,15P) based on
- linear OA(1661, 64, F16, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OA(1654, 64, F16, 48) (dual of [64, 10, 49]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
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 OA(1669, 79, F16, 57) (dual of [79, 10, 58]-code) | [i] | Truncation | |
| 2 | Linear OA(1668, 78, F16, 56) (dual of [78, 10, 57]-code) | [i] | ||
| 3 | Linear OOA(1670, 40, F16, 2, 58) (dual of [(40, 2), 10, 59]-NRT-code) | [i] | OOA Folding | |