Information on Result #911042
Linear OOA(2140, 72, F2, 2, 94) (dual of [(72, 2), 4, 95]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(422, 24, F4, 18) (dual of [24, 2, 19]-code), using
- 1 times truncation [i] based on linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- 1 times truncation [i] based on linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [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(2140, 72, F2, 2, 93) (dual of [(72, 2), 4, 94]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2140, 72, F2, 2, 92) (dual of [(72, 2), 4, 93]-NRT-code) | [i] | ||
| 3 | Linear OOA(2140, 72, F2, 2, 91) (dual of [(72, 2), 4, 92]-NRT-code) | [i] | ||
| 4 | Linear OOA(2140, 72, F2, 2, 90) (dual of [(72, 2), 4, 91]-NRT-code) | [i] | ||
| 5 | Linear OOA(2138, 71, F2, 2, 92) (dual of [(71, 2), 4, 93]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2150, 77, F2, 2, 100) (dual of [(77, 2), 4, 101]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 7 | Linear OOA(2140, 36, F2, 4, 94) (dual of [(36, 4), 4, 95]-NRT-code) | [i] | OOA Folding | |