Information on Result #910691
Linear OOA(9149, 76, F9, 2, 139) (dual of [(76, 2), 3, 140]-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(9129, 66, F9, 2, 121) (dual of [(66, 2), 3, 122]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(917, 10, F9, 2, 17) (dual of [(10, 2), 3, 18]-NRT-code) (see above)
- 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
- 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(9149, 76, F9, 2, 138) (dual of [(76, 2), 3, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9149, 76, F9, 2, 137) (dual of [(76, 2), 3, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(9149, 76, F9, 2, 136) (dual of [(76, 2), 3, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(9146, 74, F9, 2, 136) (dual of [(74, 2), 2, 137]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(9145, 74, F9, 2, 135) (dual of [(74, 2), 3, 136]-NRT-code) | [i] | ||
| 6 | Linear OOA(9144, 73, F9, 2, 134) (dual of [(73, 2), 2, 135]-NRT-code) | [i] | ||
| 7 | Linear OOA(9143, 73, F9, 2, 133) (dual of [(73, 2), 3, 134]-NRT-code) | [i] | ||
| 8 | Linear OOA(9140, 71, F9, 2, 130) (dual of [(71, 2), 2, 131]-NRT-code) | [i] | ||
| 9 | Linear OOA(9136, 69, F9, 2, 126) (dual of [(69, 2), 2, 127]-NRT-code) | [i] | ||
| 10 | Linear OOA(9134, 68, F9, 2, 124) (dual of [(68, 2), 2, 125]-NRT-code) | [i] | ||
| 11 | Linear OOA(9132, 67, F9, 2, 122) (dual of [(67, 2), 2, 123]-NRT-code) | [i] | ||
| 12 | Linear OOA(9128, 65, F9, 2, 118) (dual of [(65, 2), 2, 119]-NRT-code) | [i] | ||
| 13 | Linear OOA(9122, 62, F9, 2, 112) (dual of [(62, 2), 2, 113]-NRT-code) | [i] | ||
| 14 | Linear OOA(9120, 61, F9, 2, 110) (dual of [(61, 2), 2, 111]-NRT-code) | [i] | ||
| 15 | Linear OOA(9116, 59, F9, 2, 106) (dual of [(59, 2), 2, 107]-NRT-code) | [i] | ||
| 16 | Linear OOA(9114, 58, F9, 2, 104) (dual of [(58, 2), 2, 105]-NRT-code) | [i] | ||