Information on Result #1027576
Linear OOA(4201, 68, F4, 3, 180) (dual of [(68, 3), 3, 181]-NRT-code), using juxtaposition based on
- linear OOA(412, 5, F4, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,4) [i]
- linear OOA(4186, 63, F4, 3, 167) (dual of [(63, 3), 3, 168]-NRT-code), using
- repeating each code word 7 times [i] 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]
- 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
- repeating each code word 7 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-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(4201, 68, F4, 3, 179) (dual of [(68, 3), 3, 180]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4201, 68, F4, 3, 178) (dual of [(68, 3), 3, 179]-NRT-code) | [i] | ||
| 3 | Linear OOA(4201, 68, F4, 3, 177) (dual of [(68, 3), 3, 178]-NRT-code) | [i] | ||
| 4 | Linear OOA(4201, 68, F4, 3, 176) (dual of [(68, 3), 3, 177]-NRT-code) | [i] | ||
| 5 | Linear OOA(4201, 68, F4, 3, 175) (dual of [(68, 3), 3, 176]-NRT-code) | [i] | ||
| 6 | Linear OOA(4201, 68, F4, 3, 174) (dual of [(68, 3), 3, 175]-NRT-code) | [i] | ||
| 7 | Linear OOA(4201, 68, F4, 3, 173) (dual of [(68, 3), 3, 174]-NRT-code) | [i] | ||
| 8 | Linear OOA(4201, 68, F4, 3, 172) (dual of [(68, 3), 3, 173]-NRT-code) | [i] | ||
| 9 | Linear OOA(4201, 68, F4, 3, 171) (dual of [(68, 3), 3, 172]-NRT-code) | [i] | ||
| 10 | Linear OOA(4201, 68, F4, 3, 170) (dual of [(68, 3), 3, 171]-NRT-code) | [i] | ||
| 11 | Linear OOA(4199, 67, F4, 3, 178) (dual of [(67, 3), 2, 179]-NRT-code) | [i] | Truncation for OOAs | |
| 12 | Linear OOA(4184, 62, F4, 3, 163) (dual of [(62, 3), 2, 164]-NRT-code) | [i] | ||
| 13 | Linear OOA(4183, 62, F4, 3, 162) (dual of [(62, 3), 3, 163]-NRT-code) | [i] | ||
| 14 | Linear OOA(4181, 61, F4, 3, 160) (dual of [(61, 3), 2, 161]-NRT-code) | [i] | ||
| 15 | Linear OOA(4180, 61, F4, 3, 159) (dual of [(61, 3), 3, 160]-NRT-code) | [i] | ||
| 16 | Linear OOA(4177, 60, F4, 3, 156) (dual of [(60, 3), 3, 157]-NRT-code) | [i] | ||
| 17 | Linear OOA(4175, 59, F4, 3, 154) (dual of [(59, 3), 2, 155]-NRT-code) | [i] | ||
| 18 | Linear OOA(4172, 58, F4, 3, 151) (dual of [(58, 3), 2, 152]-NRT-code) | [i] | ||
| 19 | Linear OOA(4216, 73, F4, 3, 193) (dual of [(73, 3), 3, 194]-NRT-code) | [i] | Juxtaposition for OOAs | |