Information on Result #627651
Linear OA(264, 78, F2, 28) (dual of [78, 14, 29]-code), using residual code based on linear OA(2121, 136, F2, 57) (dual of [136, 15, 58]-code), using
- adding a parity check bit [i] based on linear OA(2120, 135, F2, 56) (dual of [135, 15, 57]-code), using
- construction X applied to D3 ⊂ D2 [i] based on
- linear OA(2119, 127, F2, 58) (dual of [127, 8, 59]-code), using augmented code D3 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(21, 8, F2, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to D3 ⊂ D2 [i] based on
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(265, 79, F2, 29) (dual of [79, 14, 30]-code) | [i] | Adding a Parity Check Bit | |
| 2 | Linear OOA(264, 39, F2, 2, 28) (dual of [(39, 2), 14, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(264, 26, F2, 3, 28) (dual of [(26, 3), 14, 29]-NRT-code) | [i] | ||