Information on Result #660376
Linear OA(8150, 1030, F8, 46) (dual of [1030, 880, 47]-code), using trace code based on linear OA(6475, 515, F64, 46) (dual of [515, 440, 47]-code), using
- construction X applied to AG(F,465P) ⊂ AG(F,467P) [i] based on
- linear OA(6474, 512, F64, 46) (dual of [512, 438, 47]-code), using algebraic-geometric code AG(F,465P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OA(6472, 512, F64, 44) (dual of [512, 440, 45]-code), using algebraic-geometric code AG(F,467P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(6474, 512, F64, 46) (dual of [512, 438, 47]-code), using algebraic-geometric code AG(F,465P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, 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 OA(8151, 1031, F8, 46) (dual of [1031, 880, 47]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8150, 515, F8, 2, 46) (dual of [(515, 2), 880, 47]-NRT-code) | [i] | OOA Folding | |