Information on Result #673662
Linear OA(2178, 274, F2, 53) (dual of [274, 96, 54]-code), using construction X applied to Ce(52) ⊂ Ce(46) based on
- linear OA(2169, 256, F2, 53) (dual of [256, 87, 54]-code), using an extension Ce(52) of 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(2157, 256, F2, 47) (dual of [256, 99, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- extended quadratic residue code Qe(18,2) [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(2177, 273, F2, 52) (dual of [273, 96, 53]-code) | [i] | Truncation | |
| 2 | Linear OOA(2178, 137, F2, 2, 53) (dual of [(137, 2), 96, 54]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2178, 91, F2, 3, 53) (dual of [(91, 3), 95, 54]-NRT-code) | [i] | ||