Information on Result #622251
Linear OA(921, 28, F9, 18) (dual of [28, 7, 19]-code), using extended algebraic-geometric code AGe(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(937, 44, F9, 27) (dual of [44, 7, 28]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(938, 45, F9, 28) (dual of [45, 7, 29]-code) | [i] | ||
| 3 | Linear OA(941, 48, F9, 30) (dual of [48, 7, 31]-code) | [i] | ||
| 4 | Linear OA(9112, 119, F9, 89) (dual of [119, 7, 90]-code) | [i] | ||
| 5 | Linear OA(9122, 129, F9, 93) (dual of [129, 7, 94]-code) | [i] | ||
| 6 | Linear OA(398, 112, F3, 56) (dual of [112, 14, 57]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(3182, 196, F3, 94) (dual of [196, 14, 95]-code) | [i] | ||
| 8 | Linear OOA(3154, 84, F3, 2, 94) (dual of [(84, 2), 14, 95]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 9 | Linear OOA(3210, 112, F3, 2, 132) (dual of [(112, 2), 14, 133]-NRT-code) | [i] | ||
| 10 | Linear OA(9109, 119, F9, 79) (dual of [119, 10, 80]-code) | [i] | Construction X with Cyclic Codes | |
| 11 | Linear OA(9102, 110, F9, 80) (dual of [110, 8, 81]-code) | [i] | ||
| 12 | Linear OA(9108, 118, F9, 79) (dual of [118, 10, 80]-code) | [i] | Construction XX with Cyclic Codes | |
| 13 | Linear OA(9110, 120, F9, 80) (dual of [120, 10, 81]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 14 | Linear OA(9101, 109, F9, 80) (dual of [109, 8, 81]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 15 | Linear OOA(921, 14, F9, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code) | [i] | OOA Folding | |