Information on Result #664033
Linear OA(9113, 128, F9, 76) (dual of [128, 15, 77]-code), using generalized (u, u+v)-construction based on
- linear OA(910, 16, F9, 9) (dual of [16, 6, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(911, 16, F9, 10) (dual of [16, 5, 11]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OA(913, 16, F9, 12) (dual of [16, 3, 13]-code), using
- extended algebraic-geometric code AGe(F,3P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16 (see above)
- linear OA(915, 16, F9, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,9)), using
- dual of repetition code with length 16 [i]
- linear OA(916, 16, F9, 16) (dual of [16, 0, 17]-code or 16-arc in PG(15,9)), using
- linear OA(916, 16, F9, 16) (dual of [16, 0, 17]-code or 16-arc in PG(15,9)) (see above)
- linear OA(916, 16, F9, 16) (dual of [16, 0, 17]-code or 16-arc in PG(15,9)) (see above)
- linear OA(916, 16, F9, 16) (dual of [16, 0, 17]-code or 16-arc in PG(15,9)) (see above)
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 OOA(9113, 64, F9, 2, 76) (dual of [(64, 2), 15, 77]-NRT-code) | [i] | OOA Folding | |