Information on Result #659052
Linear OA(16130, 134, F16, 117) (dual of [134, 4, 118]-code), using repeating each code word 2 times 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]
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(16130, 134, F16, 116) (dual of [134, 4, 117]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16129, 133, F16, 116) (dual of [133, 4, 117]-code) | [i] | Truncation | |
| 3 | Linear OA(16127, 131, F16, 114) (dual of [131, 4, 115]-code) | [i] | ||
| 4 | Linear OA(16125, 129, F16, 112) (dual of [129, 4, 113]-code) | [i] | ||
| 5 | Linear OA(16123, 127, F16, 110) (dual of [127, 4, 111]-code) | [i] | ||
| 6 | Linear OA(16121, 125, F16, 108) (dual of [125, 4, 109]-code) | [i] | ||
| 7 | Linear OA(16119, 123, F16, 106) (dual of [123, 4, 107]-code) | [i] | ||
| 8 | Linear OA(16117, 121, F16, 104) (dual of [121, 4, 105]-code) | [i] | ||
| 9 | Linear OA(16115, 119, F16, 102) (dual of [119, 4, 103]-code) | [i] | ||
| 10 | Linear OA(16113, 117, F16, 100) (dual of [117, 4, 101]-code) | [i] | ||
| 11 | Linear OA(16111, 115, F16, 98) (dual of [115, 4, 99]-code) | [i] | ||
| 12 | Linear OA(16109, 113, F16, 96) (dual of [113, 4, 97]-code) | [i] | ||
| 13 | Linear OOA(16130, 67, F16, 2, 117) (dual of [(67, 2), 4, 118]-NRT-code) | [i] | OOA Folding | |