Information on Result #1026539
Linear OOA(3131, 45, F3, 3, 107) (dual of [(45, 3), 4, 108]-NRT-code), using juxtaposition based on
- linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,3) [i]
- linear OOA(3119, 41, F3, 3, 98) (dual of [(41, 3), 4, 99]-NRT-code), using
- 9 step truncation [i] based on linear OOA(3128, 44, F3, 3, 107) (dual of [(44, 3), 4, 108]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code) (see above)
- linear OOA(3116, 40, F3, 3, 98) (dual of [(40, 3), 4, 99]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(2,9) [i]
- linear OOA(310, 4, F3, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,3) [i]
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- concatenation of two NRT-codes [i] based on
- juxtaposition [i] based on
- 9 step truncation [i] based on linear OOA(3128, 44, F3, 3, 107) (dual of [(44, 3), 4, 108]-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(3131, 45, F3, 3, 106) (dual of [(45, 3), 4, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3131, 45, F3, 3, 105) (dual of [(45, 3), 4, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(3131, 45, F3, 3, 104) (dual of [(45, 3), 4, 105]-NRT-code) | [i] | ||
| 4 | Linear OOA(3131, 45, F3, 3, 103) (dual of [(45, 3), 4, 104]-NRT-code) | [i] | ||
| 5 | Linear OOA(3131, 45, F3, 3, 102) (dual of [(45, 3), 4, 103]-NRT-code) | [i] | ||