Information on Result #621849
Linear OA(2119, 135, F2, 54) (dual of [135, 16, 55]-code), using construction X applied to D2 ⊂ D1 based on
- linear OA(2112, 127, F2, 54) (dual of [127, 15, 55]-code), using augmented code D2 for u = 7 by de Boer and Brouwer [i]
- linear OA(2105, 127, F2, 46) (dual of [127, 22, 47]-code), using augmented code D1 for u = 7 by de Boer and Brouwer [i]
- linear OA(27, 8, F2, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,2)), using
- dual of repetition code with length 8 [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(2119, 135, F2, 53) (dual of [135, 16, 54]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2121, 137, F2, 54) (dual of [137, 16, 55]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2120, 136, F2, 55) (dual of [136, 16, 56]-code) | [i] | Adding a Parity Check Bit | |
| 4 | Linear OOA(2119, 45, F2, 3, 54) (dual of [(45, 3), 16, 55]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2119, 27, F2, 5, 54) (dual of [(27, 5), 16, 55]-NRT-code) | [i] | ||