Information on Result #2175025
Linear OA(2138, 154, F2, 61) (dual of [154, 16, 62]-code), using adding a parity check bit based on linear OA(2137, 153, F2, 60) (dual of [153, 16, 61]-code), using
- construction XX applied toC3 ⊂ D2 ⊂ D1 [i] based on
- linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 for u = 7 by de Boer and Brouwer [i]
- 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(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- extended quadratic residue code Qe(18,2) [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(2138, 154, F2, 60) (dual of [154, 16, 61]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(2138, 77, F2, 2, 61) (dual of [(77, 2), 16, 62]-NRT-code) | [i] | OOA Folding | |