Information on Result #1024318
Linear OOA(4159, 54, F4, 3, 143) (dual of [(54, 3), 3, 144]-NRT-code), using repeating each code word 6 times based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;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]
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(4159, 54, F4, 3, 142) (dual of [(54, 3), 3, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4159, 54, F4, 3, 141) (dual of [(54, 3), 3, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(4159, 54, F4, 3, 140) (dual of [(54, 3), 3, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(4159, 54, F4, 3, 139) (dual of [(54, 3), 3, 140]-NRT-code) | [i] | ||
| 5 | Linear OOA(4159, 54, F4, 3, 138) (dual of [(54, 3), 3, 139]-NRT-code) | [i] | ||
| 6 | Linear OOA(4159, 54, F4, 3, 137) (dual of [(54, 3), 3, 138]-NRT-code) | [i] | ||
| 7 | Linear OOA(4159, 54, F4, 3, 136) (dual of [(54, 3), 3, 137]-NRT-code) | [i] | ||
| 8 | Linear OOA(4159, 54, F4, 3, 135) (dual of [(54, 3), 3, 136]-NRT-code) | [i] | ||
| 9 | Linear OOA(4159, 54, F4, 3, 134) (dual of [(54, 3), 3, 135]-NRT-code) | [i] | ||
| 10 | Linear OOA(4157, 53, F4, 3, 141) (dual of [(53, 3), 2, 142]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(4156, 53, F4, 3, 140) (dual of [(53, 3), 3, 141]-NRT-code) | [i] | ||
| 12 | Linear OOA(4153, 52, F4, 3, 137) (dual of [(52, 3), 3, 138]-NRT-code) | [i] | ||
| 13 | Linear OOA(4150, 51, F4, 3, 134) (dual of [(51, 3), 3, 135]-NRT-code) | [i] | ||
| 14 | Linear OOA(4145, 49, F4, 3, 129) (dual of [(49, 3), 2, 130]-NRT-code) | [i] | ||
| 15 | Linear OOA(4139, 47, F4, 3, 123) (dual of [(47, 3), 2, 124]-NRT-code) | [i] | ||
| 16 | Linear OOA(4136, 46, F4, 3, 120) (dual of [(46, 3), 2, 121]-NRT-code) | [i] | ||
| 17 | Linear OOA(4129, 44, F4, 3, 113) (dual of [(44, 3), 3, 114]-NRT-code) | [i] | ||
| 18 | Linear OOA(4127, 43, F4, 3, 111) (dual of [(43, 3), 2, 112]-NRT-code) | [i] | ||
| 19 | Linear OOA(4126, 43, F4, 3, 110) (dual of [(43, 3), 3, 111]-NRT-code) | [i] | ||
| 20 | Linear OOA(4168, 57, F4, 3, 150) (dual of [(57, 3), 3, 151]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 21 | Linear OOA(4171, 58, F4, 3, 153) (dual of [(58, 3), 3, 154]-NRT-code) | [i] | ||
| 22 | Linear OOA(4174, 59, F4, 3, 156) (dual of [(59, 3), 3, 157]-NRT-code) | [i] | ||