Information on Result #622264
Linear OA(921, 30, F9, 17) (dual of [30, 9, 18]-code), using extended algebraic-geometric code AGe(F,12P) based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
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(9111, 120, F9, 71) (dual of [120, 9, 72]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9103, 112, F9, 79) (dual of [112, 9, 80]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(9119, 128, F9, 89) (dual of [128, 9, 90]-code) | [i] | ||
| 4 | Linear OA(372, 90, F3, 35) (dual of [90, 18, 36]-code) | [i] | Concatenation of Two Codes | |
| 5 | Linear OA(3102, 120, F3, 53) (dual of [120, 18, 54]-code) | [i] | ||
| 6 | Linear OA(9109, 121, F9, 78) (dual of [121, 12, 79]-code) | [i] | Construction X with Cyclic Codes | |
| 7 | Linear OA(994, 112, F9, 61) (dual of [112, 18, 62]-code) | [i] | ||
| 8 | Linear OA(9107, 125, F9, 69) (dual of [125, 18, 70]-code) | [i] | Construction XX with Cyclic Codes | |
| 9 | Linear OA(9108, 125, F9, 70) (dual of [125, 17, 71]-code) | [i] | ||
| 10 | Linear OA(9111, 124, F9, 77) (dual of [124, 13, 78]-code) | [i] | ||
| 11 | Linear OA(9112, 125, F9, 78) (dual of [125, 13, 79]-code) | [i] | ||
| 12 | Linear OA(998, 111, F9, 70) (dual of [111, 13, 71]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 13 | Linear OA(9100, 112, F9, 71) (dual of [112, 12, 72]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 14 | Linear OOA(921, 15, F9, 2, 17) (dual of [(15, 2), 9, 18]-NRT-code) | [i] | OOA Folding | |