Information on Result #911048
Linear OOA(2146, 75, F2, 2, 99) (dual of [(75, 2), 4, 100]-NRT-code), using concatenation of two NRT-codes 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
- 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(2146, 75, F2, 2, 98) (dual of [(75, 2), 4, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2146, 75, F2, 2, 97) (dual of [(75, 2), 4, 98]-NRT-code) | [i] | ||
| 3 | Linear OOA(2146, 75, F2, 2, 96) (dual of [(75, 2), 4, 97]-NRT-code) | [i] | ||
| 4 | Linear OOA(2146, 75, F2, 2, 95) (dual of [(75, 2), 4, 96]-NRT-code) | [i] | ||
| 5 | Linear OOA(2146, 75, F2, 2, 94) (dual of [(75, 2), 4, 95]-NRT-code) | [i] | ||
| 6 | Linear OOA(2146, 75, F2, 2, 93) (dual of [(75, 2), 4, 94]-NRT-code) | [i] | ||
| 7 | Linear OOA(2148, 76, F2, 2, 99) (dual of [(76, 2), 4, 100]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(2145, 74, F2, 2, 98) (dual of [(74, 2), 3, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2144, 74, F2, 2, 97) (dual of [(74, 2), 4, 98]-NRT-code) | [i] | ||
| 10 | Linear OOA(2142, 73, F2, 2, 95) (dual of [(73, 2), 4, 96]-NRT-code) | [i] | ||
| 11 | Linear OOA(2138, 71, F2, 2, 91) (dual of [(71, 2), 4, 92]-NRT-code) | [i] | ||
| 12 | Linear OOA(2154, 79, F2, 2, 103) (dual of [(79, 2), 4, 104]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 13 | Linear OOA(2156, 80, F2, 2, 105) (dual of [(80, 2), 4, 106]-NRT-code) | [i] | ||
| 14 | Linear OOA(2158, 81, F2, 2, 106) (dual of [(81, 2), 4, 107]-NRT-code) | [i] | ||
| 15 | Linear OOA(2160, 82, F2, 2, 107) (dual of [(82, 2), 4, 108]-NRT-code) | [i] | ||
| 16 | Linear OOA(2162, 83, F2, 2, 109) (dual of [(83, 2), 4, 110]-NRT-code) | [i] | ||