Information on Result #910693
Linear OOA(9131, 67, F9, 2, 122) (dual of [(67, 2), 3, 123]-NRT-code), using juxtaposition based on
- linear OOA(919, 11, F9, 2, 18) (dual of [(11, 2), 3, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(919, 16, F9, 2, 18) (dual of [(16, 2), 13, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,13P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(919, 16, F9, 2, 18) (dual of [(16, 2), 13, 19]-NRT-code), using
- linear OOA(9109, 56, F9, 2, 103) (dual of [(56, 2), 3, 104]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(953, 28, F9, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), using
- standard lengthening with (d0,…,d1) = (50,51) [i] based on linear OOA(951, 27, F9, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- repeating each code word 2 times [i] based on linear OOA(953, 28, F9, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), 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 OOA(9131, 67, F9, 2, 121) (dual of [(67, 2), 3, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9131, 67, F9, 2, 120) (dual of [(67, 2), 3, 121]-NRT-code) | [i] | ||
| 3 | Linear OOA(9131, 67, F9, 2, 119) (dual of [(67, 2), 3, 120]-NRT-code) | [i] | ||
| 4 | Linear OOA(9131, 67, F9, 2, 118) (dual of [(67, 2), 3, 119]-NRT-code) | [i] | ||