Information on Result #910624
Linear OOA(9137, 71, F9, 2, 122) (dual of [(71, 2), 5, 123]-NRT-code), using juxtaposition based on
- linear OOA(925, 15, F9, 2, 24) (dual of [(15, 2), 5, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(925, 16, F9, 2, 24) (dual of [(16, 2), 7, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [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(925, 16, F9, 2, 24) (dual of [(16, 2), 7, 25]-NRT-code), using
- linear OOA(9107, 56, F9, 2, 97) (dual of [(56, 2), 5, 98]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(951, 28, F9, 2, 48) (dual of [(28, 2), 5, 49]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(951, 28, F9, 2, 48) (dual of [(28, 2), 5, 49]-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(9137, 71, F9, 2, 121) (dual of [(71, 2), 5, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |