Information on Result #912294
Linear OOA(3140, 72, F3, 2, 111) (dual of [(72, 2), 4, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(916, 18, F9, 15) (dual of [18, 2, 16]-code), using
- 2 times truncation [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
- 2 times truncation [i] based on linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-code), 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(3140, 72, F3, 2, 110) (dual of [(72, 2), 4, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3140, 72, F3, 2, 109) (dual of [(72, 2), 4, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(3140, 72, F3, 2, 108) (dual of [(72, 2), 4, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(3140, 72, F3, 2, 107) (dual of [(72, 2), 4, 108]-NRT-code) | [i] | ||
| 5 | Linear OOA(3140, 72, F3, 2, 106) (dual of [(72, 2), 4, 107]-NRT-code) | [i] | ||
| 6 | Linear OOA(3140, 72, F3, 2, 105) (dual of [(72, 2), 4, 106]-NRT-code) | [i] | ||
| 7 | Linear OOA(3138, 71, F3, 2, 109) (dual of [(71, 2), 4, 110]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(3136, 70, F3, 2, 107) (dual of [(70, 2), 4, 108]-NRT-code) | [i] | ||
| 9 | Linear OOA(3135, 69, F3, 2, 106) (dual of [(69, 2), 3, 107]-NRT-code) | [i] | ||
| 10 | Linear OOA(3134, 69, F3, 2, 105) (dual of [(69, 2), 4, 106]-NRT-code) | [i] | ||
| 11 | Linear OOA(3130, 67, F3, 2, 101) (dual of [(67, 2), 4, 102]-NRT-code) | [i] | ||
| 12 | Linear OOA(3128, 66, F3, 2, 99) (dual of [(66, 2), 4, 100]-NRT-code) | [i] | ||
| 13 | Linear OOA(3126, 65, F3, 2, 97) (dual of [(65, 2), 4, 98]-NRT-code) | [i] | ||
| 14 | Linear OOA(3122, 63, F3, 2, 93) (dual of [(63, 2), 4, 94]-NRT-code) | [i] | ||
| 15 | Linear OOA(3121, 62, F3, 2, 92) (dual of [(62, 2), 3, 93]-NRT-code) | [i] | ||
| 16 | Linear OOA(3120, 62, F3, 2, 91) (dual of [(62, 2), 4, 92]-NRT-code) | [i] | ||
| 17 | Linear OOA(3107, 55, F3, 2, 78) (dual of [(55, 2), 3, 79]-NRT-code) | [i] | ||
| 18 | Linear OOA(3140, 36, F3, 4, 111) (dual of [(36, 4), 4, 112]-NRT-code) | [i] | OOA Folding | |