Information on Result #2432963
Linear OOA(3156, 80, F3, 2, 124) (dual of [(80, 2), 4, 125]-NRT-code), using strength reduction based on linear OOA(3156, 80, F3, 2, 125) (dual of [(80, 2), 4, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-code), using
- repeating each code word 2 times [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]
- repeating each code word 2 times [i] based on linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [i]
- linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-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(3155, 79, F3, 2, 123) (dual of [(79, 2), 3, 124]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(3154, 79, F3, 2, 122) (dual of [(79, 2), 4, 123]-NRT-code) | [i] | ||
| 3 | Linear OOA(3152, 78, F3, 2, 120) (dual of [(78, 2), 4, 121]-NRT-code) | [i] | ||
| 4 | Linear OOA(3150, 77, F3, 2, 118) (dual of [(77, 2), 4, 119]-NRT-code) | [i] | ||
| 5 | Linear OOA(3147, 75, F3, 2, 115) (dual of [(75, 2), 3, 116]-NRT-code) | [i] | ||
| 6 | Linear OOA(3146, 75, F3, 2, 114) (dual of [(75, 2), 4, 115]-NRT-code) | [i] | ||
| 7 | Linear OOA(3144, 74, F3, 2, 112) (dual of [(74, 2), 4, 113]-NRT-code) | [i] | ||
| 8 | Linear OOA(3142, 73, F3, 2, 110) (dual of [(73, 2), 4, 111]-NRT-code) | [i] | ||
| 9 | Linear OOA(3138, 71, F3, 2, 106) (dual of [(71, 2), 4, 107]-NRT-code) | [i] | ||
| 10 | Linear OOA(3136, 70, F3, 2, 104) (dual of [(70, 2), 4, 105]-NRT-code) | [i] | ||
| 11 | Linear OOA(3135, 69, F3, 2, 103) (dual of [(69, 2), 3, 104]-NRT-code) | [i] | ||
| 12 | Linear OOA(3134, 69, F3, 2, 102) (dual of [(69, 2), 4, 103]-NRT-code) | [i] | ||
| 13 | Linear OOA(3130, 67, F3, 2, 98) (dual of [(67, 2), 4, 99]-NRT-code) | [i] | ||
| 14 | Linear OOA(3128, 66, F3, 2, 96) (dual of [(66, 2), 4, 97]-NRT-code) | [i] | ||
| 15 | Linear OOA(3126, 65, F3, 2, 94) (dual of [(65, 2), 4, 95]-NRT-code) | [i] | ||
| 16 | Linear OOA(3156, 40, F3, 4, 124) (dual of [(40, 4), 4, 125]-NRT-code) | [i] | OOA Folding | |