Information on Result #909921
Linear OOA(4131, 67, F4, 2, 110) (dual of [(67, 2), 3, 111]-NRT-code), using juxtaposition based on
- linear OOA(45, 4, F4, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,4) [i]
- linear OOA(4123, 63, F4, 2, 104) (dual of [(63, 2), 3, 105]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- repeating each code word 7 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-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(4131, 67, F4, 2, 109) (dual of [(67, 2), 3, 110]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4131, 67, F4, 2, 108) (dual of [(67, 2), 3, 109]-NRT-code) | [i] | ||
| 3 | Linear OOA(4131, 67, F4, 2, 107) (dual of [(67, 2), 3, 108]-NRT-code) | [i] | ||
| 4 | Linear OOA(4131, 67, F4, 2, 106) (dual of [(67, 2), 3, 107]-NRT-code) | [i] | ||
| 5 | Linear OOA(4131, 67, F4, 2, 105) (dual of [(67, 2), 3, 106]-NRT-code) | [i] | ||