Information on Result #1028492
Linear OOA(2128, 48, F2, 3, 77) (dual of [(48, 3), 16, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- Reed–Solomon code RS(4,16) [i]
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [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(2128, 48, F2, 3, 76) (dual of [(48, 3), 16, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2128, 48, F2, 3, 75) (dual of [(48, 3), 16, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(2128, 48, F2, 3, 74) (dual of [(48, 3), 16, 75]-NRT-code) | [i] | ||
| 4 | Linear OOA(2128, 48, F2, 3, 73) (dual of [(48, 3), 16, 74]-NRT-code) | [i] | ||
| 5 | Linear OOA(2129, 48, F2, 3, 77) (dual of [(48, 3), 15, 78]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2130, 48, F2, 3, 77) (dual of [(48, 3), 14, 78]-NRT-code) | [i] | ||
| 7 | Linear OOA(2127, 47, F2, 3, 76) (dual of [(47, 3), 14, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2126, 47, F2, 3, 75) (dual of [(47, 3), 15, 76]-NRT-code) | [i] | ||
| 9 | Linear OOA(2125, 47, F2, 3, 74) (dual of [(47, 3), 16, 75]-NRT-code) | [i] | ||
| 10 | Linear OOA(2124, 46, F2, 3, 73) (dual of [(46, 3), 14, 74]-NRT-code) | [i] | ||
| 11 | Linear OOA(2123, 46, F2, 3, 72) (dual of [(46, 3), 15, 73]-NRT-code) | [i] | ||
| 12 | Linear OOA(2122, 46, F2, 3, 71) (dual of [(46, 3), 16, 72]-NRT-code) | [i] | ||
| 13 | Linear OOA(2121, 45, F2, 3, 70) (dual of [(45, 3), 14, 71]-NRT-code) | [i] | ||
| 14 | Linear OOA(2118, 44, F2, 3, 67) (dual of [(44, 3), 14, 68]-NRT-code) | [i] | ||
| 15 | Linear OOA(2117, 44, F2, 3, 66) (dual of [(44, 3), 15, 67]-NRT-code) | [i] | ||
| 16 | Linear OOA(2128, 24, F2, 6, 77) (dual of [(24, 6), 16, 78]-NRT-code) | [i] | OOA Folding | |