Information on Result #658594
Linear OA(920, 27, F9, 17) (dual of [27, 7, 18]-code), using algebraic-geometric code AG(F,9P) 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(946, 52, F9, 35) (dual of [52, 6, 36]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(945, 50, F9, 35) (dual of [50, 5, 36]-code) | [i] | ||
| 3 | Linear OA(9111, 118, F9, 88) (dual of [118, 7, 89]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(9121, 127, F9, 97) (dual of [127, 6, 98]-code) | [i] | ||
| 5 | Linear OA(9123, 129, F9, 98) (dual of [129, 6, 99]-code) | [i] | ||
| 6 | Linear OA(9121, 126, F9, 98) (dual of [126, 5, 99]-code) | [i] | ||
| 7 | Linear OA(9102, 106, F9, 89) (dual of [106, 4, 90]-code) | [i] | ||
| 8 | Linear OA(9112, 116, F9, 97) (dual of [116, 4, 98]-code) | [i] | ||
| 9 | Linear OA(9142, 148, F9, 115) (dual of [148, 6, 116]-code) | [i] | ||
| 10 | Linear OA(9148, 154, F9, 121) (dual of [154, 6, 122]-code) | [i] | ||
| 11 | Linear OA(9150, 156, F9, 122) (dual of [156, 6, 123]-code) | [i] | ||
| 12 | Linear OA(9147, 152, F9, 124) (dual of [152, 5, 125]-code) | [i] | ||
| 13 | Linear OA(9150, 155, F9, 126) (dual of [155, 5, 127]-code) | [i] | ||
| 14 | Linear OA(394, 108, F3, 53) (dual of [108, 14, 54]-code) | [i] | Concatenation of Two Codes | |
| 15 | Linear OA(392, 104, F3, 53) (dual of [104, 12, 54]-code) | [i] | ||
| 16 | Linear OA(390, 100, F3, 53) (dual of [100, 10, 54]-code) | [i] | ||
| 17 | Linear OA(388, 96, F3, 53) (dual of [96, 8, 54]-code) | [i] | ||
| 18 | Linear OOA(3148, 81, F3, 2, 89) (dual of [(81, 2), 14, 90]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 19 | Linear OOA(3144, 78, F3, 2, 89) (dual of [(78, 2), 12, 90]-NRT-code) | [i] | ||
| 20 | Linear OOA(3140, 75, F3, 2, 89) (dual of [(75, 2), 10, 90]-NRT-code) | [i] | ||
| 21 | Linear OOA(3202, 108, F3, 2, 125) (dual of [(108, 2), 14, 126]-NRT-code) | [i] | ||
| 22 | Linear OOA(3196, 104, F3, 2, 125) (dual of [(104, 2), 12, 126]-NRT-code) | [i] | ||
| 23 | Linear OOA(3190, 100, F3, 2, 125) (dual of [(100, 2), 10, 126]-NRT-code) | [i] | ||
| 24 | Linear OA(928, 35, F9, 22) (dual of [35, 7, 23]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 25 | Linear OA(930, 37, F9, 23) (dual of [37, 7, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(999, 106, F9, 79) (dual of [106, 7, 80]-code) | [i] | Construction X with Cyclic Codes | |