Information on Result #1027557
Linear OOA(4258, 87, F4, 3, 229) (dual of [(87, 3), 3, 230]-NRT-code), using juxtaposition based on
- linear OOA(46, 3, F4, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,4) [i]
- discarding factors / shortening the dual code based on linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- linear OOA(4249, 84, F4, 3, 222) (dual of [(84, 3), 3, 223]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(46, 3, F4, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code) (see above)
- linear OOA(4240, 81, F4, 3, 215) (dual of [(81, 3), 3, 216]-NRT-code), using
- repeating each code word 9 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 9 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
- juxtaposition [i] based on
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(4258, 87, F4, 3, 228) (dual of [(87, 3), 3, 229]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4258, 87, F4, 3, 227) (dual of [(87, 3), 3, 228]-NRT-code) | [i] | ||
| 3 | Linear OOA(4258, 87, F4, 3, 226) (dual of [(87, 3), 3, 227]-NRT-code) | [i] | ||
| 4 | Linear OOA(4258, 87, F4, 3, 225) (dual of [(87, 3), 3, 226]-NRT-code) | [i] | ||
| 5 | Linear OOA(4258, 87, F4, 3, 224) (dual of [(87, 3), 3, 225]-NRT-code) | [i] | ||
| 6 | Linear OOA(4258, 87, F4, 3, 223) (dual of [(87, 3), 3, 224]-NRT-code) | [i] | ||
| 7 | Linear OOA(4258, 87, F4, 3, 222) (dual of [(87, 3), 3, 223]-NRT-code) | [i] | ||
| 8 | Linear OOA(4258, 87, F4, 3, 221) (dual of [(87, 3), 3, 222]-NRT-code) | [i] | ||
| 9 | Linear OOA(4258, 87, F4, 3, 220) (dual of [(87, 3), 3, 221]-NRT-code) | [i] | ||
| 10 | Linear OOA(4258, 87, F4, 3, 219) (dual of [(87, 3), 3, 220]-NRT-code) | [i] | ||
| 11 | Linear OOA(4258, 87, F4, 3, 218) (dual of [(87, 3), 3, 219]-NRT-code) | [i] | ||
| 12 | Linear OOA(4258, 87, F4, 3, 217) (dual of [(87, 3), 3, 218]-NRT-code) | [i] | ||
| 13 | Linear OOA(4258, 87, F4, 3, 216) (dual of [(87, 3), 3, 217]-NRT-code) | [i] | ||
| 14 | Linear OOA(4258, 87, F4, 3, 215) (dual of [(87, 3), 3, 216]-NRT-code) | [i] | ||
| 15 | Linear OOA(4258, 87, F4, 3, 214) (dual of [(87, 3), 3, 215]-NRT-code) | [i] | ||
| 16 | Linear OOA(4256, 86, F4, 3, 227) (dual of [(86, 3), 2, 228]-NRT-code) | [i] | Truncation for OOAs | |