Information on Result #664036
Linear OA(9109, 128, F9, 69) (dual of [128, 19, 70]-code), using generalized (u, u+v)-construction based on
- linear OA(99, 16, F9, 8) (dual of [16, 7, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 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) (see above)
- linear OA(912, 16, F9, 11) (dual of [16, 4, 12]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OA(914, 16, F9, 13) (dual of [16, 2, 14]-code), using
- 4 times truncation [i] based on linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-code), using
- repeating each code word 2 times [i] based on linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(2,9) [i]
- repeating each code word 2 times [i] based on linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- 4 times truncation [i] based on linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-code), using
- 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(9109, 64, F9, 2, 69) (dual of [(64, 2), 19, 70]-NRT-code) | [i] | OOA Folding | |