Information on Result #912299
Linear OOA(3156, 80, F3, 2, 125) (dual of [(80, 2), 4, 126]-NRT-code), using concatenation of two NRT-codes 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]
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(3156, 80, F3, 2, 124) (dual of [(80, 2), 4, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3156, 80, F3, 2, 123) (dual of [(80, 2), 4, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(3156, 80, F3, 2, 122) (dual of [(80, 2), 4, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(3156, 80, F3, 2, 121) (dual of [(80, 2), 4, 122]-NRT-code) | [i] | ||
| 5 | Linear OOA(3156, 80, F3, 2, 120) (dual of [(80, 2), 4, 121]-NRT-code) | [i] | ||
| 6 | Linear OOA(3156, 80, F3, 2, 119) (dual of [(80, 2), 4, 120]-NRT-code) | [i] | ||
| 7 | Linear OOA(3156, 80, F3, 2, 118) (dual of [(80, 2), 4, 119]-NRT-code) | [i] | ||
| 8 | Linear OOA(3156, 80, F3, 2, 117) (dual of [(80, 2), 4, 118]-NRT-code) | [i] | ||
| 9 | Linear OOA(3156, 80, F3, 2, 116) (dual of [(80, 2), 4, 117]-NRT-code) | [i] | ||
| 10 | Linear OOA(3156, 80, F3, 2, 115) (dual of [(80, 2), 4, 116]-NRT-code) | [i] | ||
| 11 | Linear OOA(3158, 81, F3, 2, 125) (dual of [(81, 2), 4, 126]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(3155, 79, F3, 2, 124) (dual of [(79, 2), 3, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 13 | Linear OOA(3154, 79, F3, 2, 123) (dual of [(79, 2), 4, 124]-NRT-code) | [i] | ||
| 14 | Linear OOA(3152, 78, F3, 2, 121) (dual of [(78, 2), 4, 122]-NRT-code) | [i] | ||
| 15 | Linear OOA(3150, 77, F3, 2, 119) (dual of [(77, 2), 4, 120]-NRT-code) | [i] | ||
| 16 | Linear OOA(3147, 75, F3, 2, 116) (dual of [(75, 2), 3, 117]-NRT-code) | [i] | ||
| 17 | Linear OOA(3146, 75, F3, 2, 115) (dual of [(75, 2), 4, 116]-NRT-code) | [i] | ||
| 18 | Linear OOA(3144, 74, F3, 2, 113) (dual of [(74, 2), 4, 114]-NRT-code) | [i] | ||
| 19 | Linear OOA(3142, 73, F3, 2, 111) (dual of [(73, 2), 4, 112]-NRT-code) | [i] | ||
| 20 | Linear OOA(3138, 71, F3, 2, 107) (dual of [(71, 2), 4, 108]-NRT-code) | [i] | ||
| 21 | Linear OOA(3136, 70, F3, 2, 105) (dual of [(70, 2), 4, 106]-NRT-code) | [i] | ||
| 22 | Linear OOA(3135, 69, F3, 2, 104) (dual of [(69, 2), 3, 105]-NRT-code) | [i] | ||
| 23 | Linear OOA(3134, 69, F3, 2, 103) (dual of [(69, 2), 4, 104]-NRT-code) | [i] | ||
| 24 | Linear OOA(3130, 67, F3, 2, 99) (dual of [(67, 2), 4, 100]-NRT-code) | [i] | ||
| 25 | Linear OOA(3128, 66, F3, 2, 97) (dual of [(66, 2), 4, 98]-NRT-code) | [i] | ||
| 26 | Linear OOA(3126, 65, F3, 2, 95) (dual of [(65, 2), 4, 96]-NRT-code) | [i] | ||
| 27 | Linear OOA(3122, 63, F3, 2, 91) (dual of [(63, 2), 4, 92]-NRT-code) | [i] | ||
| 28 | Linear OOA(3121, 62, F3, 2, 90) (dual of [(62, 2), 3, 91]-NRT-code) | [i] | ||
| 29 | Linear OOA(3120, 62, F3, 2, 89) (dual of [(62, 2), 4, 90]-NRT-code) | [i] | ||
| 30 | Linear OOA(3164, 84, F3, 2, 130) (dual of [(84, 2), 4, 131]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 31 | Linear OOA(3166, 85, F3, 2, 131) (dual of [(85, 2), 4, 132]-NRT-code) | [i] | ||
| 32 | Linear OOA(3168, 86, F3, 2, 133) (dual of [(86, 2), 4, 134]-NRT-code) | [i] | ||
| 33 | Linear OOA(3170, 87, F3, 2, 135) (dual of [(87, 2), 4, 136]-NRT-code) | [i] | ||
| 34 | Linear OOA(3172, 88, F3, 2, 136) (dual of [(88, 2), 4, 137]-NRT-code) | [i] | ||
| 35 | Linear OOA(3174, 89, F3, 2, 137) (dual of [(89, 2), 4, 138]-NRT-code) | [i] | ||
| 36 | Linear OOA(3176, 90, F3, 2, 139) (dual of [(90, 2), 4, 140]-NRT-code) | [i] | ||
| 37 | Linear OOA(3180, 92, F3, 2, 142) (dual of [(92, 2), 4, 143]-NRT-code) | [i] | ||
| 38 | Linear OOA(3156, 40, F3, 4, 125) (dual of [(40, 4), 4, 126]-NRT-code) | [i] | OOA Folding | |