Information on Result #664019
Linear OA(9132, 144, F9, 95) (dual of [144, 12, 96]-code), using generalized (u, u+v)-construction based on
- 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(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 (see above)
- 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(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)
- 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9132, 144, F9, 94) (dual of [144, 12, 95]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9132, 144, F9, 93) (dual of [144, 12, 94]-code) | [i] | ||
| 3 | Linear OA(9131, 143, F9, 94) (dual of [143, 12, 95]-code) | [i] | Truncation | |
| 4 | Linear OA(9130, 142, F9, 93) (dual of [142, 12, 94]-code) | [i] | ||
| 5 | Linear OA(9129, 141, F9, 92) (dual of [141, 12, 93]-code) | [i] | ||
| 6 | Linear OA(9127, 139, F9, 90) (dual of [139, 12, 91]-code) | [i] | ||
| 7 | Linear OA(9126, 138, F9, 89) (dual of [138, 12, 90]-code) | [i] | ||
| 8 | Linear OA(9125, 137, F9, 88) (dual of [137, 12, 89]-code) | [i] | ||
| 9 | Linear OA(9124, 136, F9, 87) (dual of [136, 12, 88]-code) | [i] | ||
| 10 | Linear OA(9122, 134, F9, 85) (dual of [134, 12, 86]-code) | [i] | ||
| 11 | Linear OA(9121, 133, F9, 84) (dual of [133, 12, 85]-code) | [i] | ||
| 12 | Linear OA(9119, 131, F9, 82) (dual of [131, 12, 83]-code) | [i] | ||
| 13 | Linear OOA(9132, 72, F9, 2, 95) (dual of [(72, 2), 12, 96]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(9132, 48, F9, 3, 95) (dual of [(48, 3), 12, 96]-NRT-code) | [i] | ||