Information on Result #610063
Linear OA(2123, 126, F2, 71) (dual of [126, 3, 72]-code), using repeating each code word 18 times based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2123, 126, F2, 70) (dual of [126, 3, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2123, 126, F2, 69) (dual of [126, 3, 70]-code) | [i] | ||
| 3 | Linear OA(2123, 126, F2, 68) (dual of [126, 3, 69]-code) | [i] | ||
| 4 | Linear OA(2123, 126, F2, 67) (dual of [126, 3, 68]-code) | [i] | ||
| 5 | Linear OA(2124, 127, F2, 71) (dual of [127, 3, 72]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(2122, 125, F2, 70) (dual of [125, 3, 71]-code) | [i] | Truncation | |
| 7 | Linear OA(2121, 124, F2, 69) (dual of [124, 3, 70]-code) | [i] | ||
| 8 | Linear OA(2119, 122, F2, 67) (dual of [122, 3, 68]-code) | [i] | ||
| 9 | Linear OA(2118, 121, F2, 66) (dual of [121, 3, 67]-code) | [i] | ||
| 10 | Linear OA(2117, 120, F2, 65) (dual of [120, 3, 66]-code) | [i] | ||
| 11 | Linear OA(2115, 118, F2, 63) (dual of [118, 3, 64]-code) | [i] | ||
| 12 | Linear OA(2114, 117, F2, 62) (dual of [117, 3, 63]-code) | [i] | ||
| 13 | Linear OOA(2123, 63, F2, 2, 71) (dual of [(63, 2), 3, 72]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2123, 42, F2, 3, 71) (dual of [(42, 3), 3, 72]-NRT-code) | [i] | ||