Information on Result #910690
Linear OOA(9129, 66, F9, 2, 121) (dual of [(66, 2), 3, 122]-NRT-code), using juxtaposition based on
- linear OOA(917, 10, F9, 2, 17) (dual of [(10, 2), 3, 18]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,9) [i]
- linear OOA(9109, 56, F9, 2, 103) (dual of [(56, 2), 3, 104]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(953, 28, F9, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), using
- standard lengthening with (d0,…,d1) = (50,51) [i] based on linear OOA(951, 27, F9, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- repeating each code word 2 times [i] based on linear OOA(953, 28, F9, 2, 51) (dual of [(28, 2), 3, 52]-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(9129, 66, F9, 2, 120) (dual of [(66, 2), 3, 121]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9128, 65, F9, 2, 120) (dual of [(65, 2), 2, 121]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(9122, 62, F9, 2, 114) (dual of [(62, 2), 2, 115]-NRT-code) | [i] | ||
| 4 | Linear OOA(9120, 61, F9, 2, 112) (dual of [(61, 2), 2, 113]-NRT-code) | [i] | ||
| 5 | Linear OOA(9116, 59, F9, 2, 108) (dual of [(59, 2), 2, 109]-NRT-code) | [i] | ||
| 6 | Linear OOA(9114, 58, F9, 2, 106) (dual of [(58, 2), 2, 107]-NRT-code) | [i] | ||
| 7 | Linear OOA(9108, 55, F9, 2, 100) (dual of [(55, 2), 2, 101]-NRT-code) | [i] | ||
| 8 | Linear OOA(9107, 55, F9, 2, 99) (dual of [(55, 2), 3, 100]-NRT-code) | [i] | ||
| 9 | Linear OOA(9104, 53, F9, 2, 96) (dual of [(53, 2), 2, 97]-NRT-code) | [i] | ||
| 10 | Linear OOA(9103, 53, F9, 2, 95) (dual of [(53, 2), 3, 96]-NRT-code) | [i] | ||
| 11 | Linear OOA(9102, 52, F9, 2, 94) (dual of [(52, 2), 2, 95]-NRT-code) | [i] | ||
| 12 | Linear OOA(9100, 51, F9, 2, 92) (dual of [(51, 2), 2, 93]-NRT-code) | [i] | ||
| 13 | Linear OOA(999, 51, F9, 2, 91) (dual of [(51, 2), 3, 92]-NRT-code) | [i] | ||
| 14 | Linear OOA(995, 49, F9, 2, 87) (dual of [(49, 2), 3, 88]-NRT-code) | [i] | ||
| 15 | Linear OOA(9149, 76, F9, 2, 139) (dual of [(76, 2), 3, 140]-NRT-code) | [i] | Juxtaposition for OOAs | |