Information on Result #2419166
Linear OOA(2120, 63, F2, 2, 78) (dual of [(63, 2), 6, 79]-NRT-code), using strength reduction based on linear OOA(2120, 63, F2, 2, 79) (dual of [(63, 2), 6, 80]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- Simplex code S(3,4) [i]
- 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]
- linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
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(2122, 64, F2, 2, 78) (dual of [(64, 2), 6, 79]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2124, 65, F2, 2, 78) (dual of [(65, 2), 6, 79]-NRT-code) | [i] | ||
| 3 | Linear OOA(2121, 63, F2, 2, 78) (dual of [(63, 2), 5, 79]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2119, 62, F2, 2, 77) (dual of [(62, 2), 5, 78]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2118, 62, F2, 2, 76) (dual of [(62, 2), 6, 77]-NRT-code) | [i] | ||
| 6 | Linear OOA(2117, 61, F2, 2, 75) (dual of [(61, 2), 5, 76]-NRT-code) | [i] | ||
| 7 | Linear OOA(2116, 61, F2, 2, 74) (dual of [(61, 2), 6, 75]-NRT-code) | [i] | ||
| 8 | Linear OOA(2115, 60, F2, 2, 73) (dual of [(60, 2), 5, 74]-NRT-code) | [i] | ||
| 9 | Linear OOA(2113, 59, F2, 2, 71) (dual of [(59, 2), 5, 72]-NRT-code) | [i] | ||
| 10 | Linear OOA(2112, 59, F2, 2, 70) (dual of [(59, 2), 6, 71]-NRT-code) | [i] | ||
| 11 | Linear OOA(2111, 58, F2, 2, 69) (dual of [(58, 2), 5, 70]-NRT-code) | [i] | ||
| 12 | Linear OOA(2110, 58, F2, 2, 68) (dual of [(58, 2), 6, 69]-NRT-code) | [i] | ||
| 13 | Linear OOA(2109, 57, F2, 2, 67) (dual of [(57, 2), 5, 68]-NRT-code) | [i] | ||
| 14 | Linear OOA(2107, 56, F2, 2, 65) (dual of [(56, 2), 5, 66]-NRT-code) | [i] | ||
| 15 | Linear OOA(2106, 56, F2, 2, 64) (dual of [(56, 2), 6, 65]-NRT-code) | [i] | ||
| 16 | Linear OOA(2104, 55, F2, 2, 62) (dual of [(55, 2), 6, 63]-NRT-code) | [i] | ||