Information on Result #1087094
Linear OOA(2221, 56, F2, 4, 189) (dual of [(56, 4), 3, 190]-NRT-code), using juxtaposition based on
- linear OOA(29, 3, F2, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;3,2) [i]
- linear OOA(2209, 53, F2, 4, 179) (dual of [(53, 4), 3, 180]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(29, 3, F2, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code) (see above)
- linear OOA(2197, 50, F2, 4, 169) (dual of [(50, 4), 3, 170]-NRT-code), using
- repeating each code word 10 times [i] based on linear OOA(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- repeating each code word 10 times [i] based on linear OOA(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-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(2221, 56, F2, 4, 188) (dual of [(56, 4), 3, 189]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2221, 56, F2, 4, 187) (dual of [(56, 4), 3, 188]-NRT-code) | [i] | ||
| 3 | Linear OOA(2221, 56, F2, 4, 186) (dual of [(56, 4), 3, 187]-NRT-code) | [i] | ||
| 4 | Linear OOA(2221, 56, F2, 4, 185) (dual of [(56, 4), 3, 186]-NRT-code) | [i] | ||
| 5 | Linear OOA(2221, 56, F2, 4, 184) (dual of [(56, 4), 3, 185]-NRT-code) | [i] | ||
| 6 | Linear OOA(2221, 56, F2, 4, 183) (dual of [(56, 4), 3, 184]-NRT-code) | [i] | ||
| 7 | Linear OOA(2221, 56, F2, 4, 182) (dual of [(56, 4), 3, 183]-NRT-code) | [i] | ||
| 8 | Linear OOA(2221, 56, F2, 4, 181) (dual of [(56, 4), 3, 182]-NRT-code) | [i] | ||
| 9 | Linear OOA(2221, 56, F2, 4, 180) (dual of [(56, 4), 3, 181]-NRT-code) | [i] | ||
| 10 | Linear OOA(2221, 56, F2, 4, 179) (dual of [(56, 4), 3, 180]-NRT-code) | [i] | ||
| 11 | Linear OOA(2221, 56, F2, 4, 178) (dual of [(56, 4), 3, 179]-NRT-code) | [i] | ||
| 12 | Linear OOA(2221, 56, F2, 4, 177) (dual of [(56, 4), 3, 178]-NRT-code) | [i] | ||
| 13 | Linear OOA(2221, 56, F2, 4, 176) (dual of [(56, 4), 3, 177]-NRT-code) | [i] | ||
| 14 | Linear OOA(2221, 56, F2, 4, 175) (dual of [(56, 4), 3, 176]-NRT-code) | [i] | ||
| 15 | Linear OOA(2221, 56, F2, 4, 174) (dual of [(56, 4), 3, 175]-NRT-code) | [i] | ||
| 16 | Linear OOA(2221, 56, F2, 4, 173) (dual of [(56, 4), 3, 174]-NRT-code) | [i] | ||
| 17 | Linear OOA(2221, 56, F2, 4, 172) (dual of [(56, 4), 3, 173]-NRT-code) | [i] | ||
| 18 | Linear OOA(2221, 56, F2, 4, 171) (dual of [(56, 4), 3, 172]-NRT-code) | [i] | ||
| 19 | Linear OOA(2221, 56, F2, 4, 170) (dual of [(56, 4), 3, 171]-NRT-code) | [i] | ||
| 20 | Linear OOA(2221, 56, F2, 4, 169) (dual of [(56, 4), 3, 170]-NRT-code) | [i] | ||
| 21 | Linear OOA(2221, 56, F2, 4, 168) (dual of [(56, 4), 3, 169]-NRT-code) | [i] | ||
| 22 | Linear OOA(2218, 55, F2, 4, 186) (dual of [(55, 4), 2, 187]-NRT-code) | [i] | Truncation for OOAs | |
| 23 | Linear OOA(2213, 54, F2, 4, 181) (dual of [(54, 4), 3, 182]-NRT-code) | [i] | ||
| 24 | Linear OOA(2210, 53, F2, 4, 178) (dual of [(53, 4), 2, 179]-NRT-code) | [i] | ||
| 25 | Linear OOA(2193, 49, F2, 4, 161) (dual of [(49, 4), 3, 162]-NRT-code) | [i] | ||
| 26 | Linear OOA(2173, 44, F2, 4, 141) (dual of [(44, 4), 3, 142]-NRT-code) | [i] | ||
| 27 | Linear OOA(2221, 28, F2, 8, 189) (dual of [(28, 8), 3, 190]-NRT-code) | [i] | OOA Folding | |