Information on Result #2175140
Linear OA(2197, 280, F2, 61) (dual of [280, 83, 62]-code), using adding a parity check bit based on linear OA(2196, 279, F2, 60) (dual of [279, 83, 61]-code), using
- construction X applied to C([1,58]) ⊂ C([1,52]) [i] 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(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(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(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(2197, 280, F2, 60) (dual of [280, 83, 61]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2198, 281, F2, 61) (dual of [281, 83, 62]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2199, 282, F2, 61) (dual of [282, 83, 62]-code) | [i] | ||
| 4 | Linear OOA(2197, 140, F2, 2, 61) (dual of [(140, 2), 83, 62]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2197, 93, F2, 3, 61) (dual of [(93, 3), 82, 62]-NRT-code) | [i] | ||