Information on Result #1028152
Linear OOA(2156, 54, F2, 3, 111) (dual of [(54, 3), 6, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(816, 18, F8, 15) (dual of [18, 2, 16]-code), using
- repeating each code word 2 times [i] based on linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- extended Reed–Solomon code RSe(2,8) [i]
- Simplex code S(2,8) [i]
- repeating each code word 2 times [i] based on linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- linear OOA(26, 3, F2, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,2) [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(2156, 54, F2, 3, 110) (dual of [(54, 3), 6, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2156, 54, F2, 3, 109) (dual of [(54, 3), 6, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2156, 54, F2, 3, 108) (dual of [(54, 3), 6, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(2156, 54, F2, 3, 107) (dual of [(54, 3), 6, 108]-NRT-code) | [i] | ||
| 5 | Linear OOA(2156, 54, F2, 3, 106) (dual of [(54, 3), 6, 107]-NRT-code) | [i] | ||
| 6 | Linear OOA(2156, 54, F2, 3, 105) (dual of [(54, 3), 6, 106]-NRT-code) | [i] | ||
| 7 | Linear OOA(2156, 54, F2, 3, 104) (dual of [(54, 3), 6, 105]-NRT-code) | [i] | ||
| 8 | Linear OOA(2174, 60, F2, 3, 122) (dual of [(60, 3), 6, 123]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 9 | Linear OOA(2177, 61, F2, 3, 124) (dual of [(61, 3), 6, 125]-NRT-code) | [i] | ||
| 10 | Linear OOA(2156, 27, F2, 6, 111) (dual of [(27, 6), 6, 112]-NRT-code) | [i] | OOA Folding | |