Information on Result #661706
Linear OA(16129, 144, F16, 96) (dual of [144, 15, 97]-code), using juxtaposition based on
- linear OA(1650, 65, F16, 44) (dual of [65, 15, 45]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1664, 79, F16, 51) (dual of [79, 15, 52]-code), using
- construction X applied to AG(F,12P) ⊂ AG(F,20P) [i] based on
- linear OA(1657, 64, F16, 51) (dual of [64, 7, 52]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1649, 64, F16, 43) (dual of [64, 15, 44]-code), using algebraic-geometric code AG(F,20P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(167, 15, F16, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- construction X applied to AG(F,12P) ⊂ AG(F,20P) [i] based on
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(16129, 144, F16, 95) (dual of [144, 15, 96]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16128, 143, F16, 95) (dual of [143, 15, 96]-code) | [i] | Truncation | |
| 3 | Linear OOA(16129, 72, F16, 2, 96) (dual of [(72, 2), 15, 97]-NRT-code) | [i] | OOA Folding | |