Information on Result #2217584
Linear OA(16130, 134, F16, 116) (dual of [134, 4, 117]-code), using strength reduction based on linear OA(16130, 134, F16, 117) (dual of [134, 4, 118]-code), using
- repeating each code word 2 times [i] based on linear OA(1663, 67, F16, 58) (dual of [67, 4, 59]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,8P) [i] 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(1660, 64, F16, 55) (dual of [64, 4, 56]-code), using algebraic-geometric code AG(F,8P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
- dual of repetition code with length 3 [i]
- construction X applied to AG(F,5P) ⊂ AG(F,8P) [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, 133, F16, 115) (dual of [133, 4, 116]-code) | [i] | Truncation | |
| 2 | Linear OA(16127, 131, F16, 113) (dual of [131, 4, 114]-code) | [i] | ||
| 3 | Linear OOA(16130, 67, F16, 2, 116) (dual of [(67, 2), 4, 117]-NRT-code) | [i] | OOA Folding | |