Information on Result #644463
Linear OA(916, 27, F9, 13) (dual of [27, 11, 14]-code), using algebraic-geometric code AG(F,13P) based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(938, 44, F9, 27) (dual of [44, 6, 28]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(993, 104, F9, 65) (dual of [104, 11, 66]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(995, 106, F9, 66) (dual of [106, 11, 67]-code) | [i] | ||
| 4 | Linear OA(997, 108, F9, 67) (dual of [108, 11, 68]-code) | [i] | ||
| 5 | Linear OA(9106, 117, F9, 74) (dual of [117, 11, 75]-code) | [i] | ||
| 6 | Linear OA(992, 102, F9, 65) (dual of [102, 10, 66]-code) | [i] | ||
| 7 | Linear OA(998, 107, F9, 75) (dual of [107, 9, 76]-code) | [i] | ||
| 8 | Linear OA(997, 105, F9, 75) (dual of [105, 8, 76]-code) | [i] | ||
| 9 | Linear OA(9107, 114, F9, 84) (dual of [114, 7, 85]-code) | [i] | ||
| 10 | Linear OA(9146, 157, F9, 107) (dual of [157, 11, 108]-code) | [i] | ||
| 11 | Linear OA(9138, 148, F9, 103) (dual of [148, 10, 104]-code) | [i] | ||
| 12 | Linear OA(359, 81, F3, 27) (dual of [81, 22, 28]-code) | [i] | Concatenation of Two Codes | |
| 13 | Linear OA(358, 78, F3, 27) (dual of [78, 20, 28]-code) | [i] | ||
| 14 | Linear OA(357, 75, F3, 27) (dual of [75, 18, 28]-code) | [i] | ||
| 15 | Linear OA(386, 108, F3, 41) (dual of [108, 22, 42]-code) | [i] | ||
| 16 | Linear OA(384, 104, F3, 41) (dual of [104, 20, 42]-code) | [i] | ||
| 17 | Linear OA(382, 100, F3, 41) (dual of [100, 18, 42]-code) | [i] | ||
| 18 | Linear OOA(3140, 81, F3, 2, 69) (dual of [(81, 2), 22, 70]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 19 | Linear OOA(3136, 78, F3, 2, 69) (dual of [(78, 2), 20, 70]-NRT-code) | [i] | ||
| 20 | Linear OA(934, 45, F9, 22) (dual of [45, 11, 23]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 21 | Linear OA(9104, 118, F9, 71) (dual of [118, 14, 72]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |