Information on Result #673937
Linear OA(2195, 275, F2, 60) (dual of [275, 80, 61]-code), using construction XX applied to C([1,58]) ⊂ C([1,54]) ⊂ C([1,52]) based on
- linear OA(2184, 255, F2, 60) (dual of [255, 71, 61]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and minimum distance d ≥ 61 (sporadic result) [i]
- linear OA(2176, 255, F2, 54) (dual of [255, 79, 55]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(2168, 255, F2, 52) (dual of [255, 87, 53]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- extended quadratic residue code Qe(18,2) [i]
- linear OA(21, 2, F2, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- Reed–Solomon code RS(1,2) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2196, 276, F2, 61) (dual of [276, 80, 62]-code) | [i] | Adding a Parity Check Bit | |