Information on Result #671425
Linear OA(12814, 279, F128, 9) (dual of [279, 265, 10]-code), using (u, u+v)-construction based on
- linear OA(1284, 129, F128, 4) (dual of [129, 125, 5]-code or 129-arc in PG(3,128)), using
- extended Reed–Solomon code RSe(125,128) [i]
- linear OA(12810, 150, F128, 9) (dual of [150, 140, 10]-code), using
- extended algebraic-geometric code AGe(F,140P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(12851, 16664, F128, 19) (dual of [16664, 16613, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12869, 2097432, F128, 19) (dual of [2097432, 2097363, 20]-code) | [i] | ||
| 3 | Linear OA(12849, 16663, F128, 18) (dual of [16663, 16614, 19]-code) | [i] | ||
| 4 | Linear OA(12866, 2097431, F128, 18) (dual of [2097431, 2097365, 19]-code) | [i] | ||
| 5 | Linear OA(12851, 16665, F128, 19) (dual of [16665, 16614, 20]-code) | [i] | ||
| 6 | Linear OA(12869, 2097434, F128, 19) (dual of [2097434, 2097365, 20]-code) | [i] | ||
| 7 | Linear OA(12849, 16665, F128, 18) (dual of [16665, 16616, 19]-code) | [i] | ||
| 8 | Linear OA(12866, 2097434, F128, 18) (dual of [2097434, 2097368, 19]-code) | [i] | ||
| 9 | Linear OOA(12814, 139, F128, 2, 9) (dual of [(139, 2), 264, 10]-NRT-code) | [i] | OOA Folding | |