Information on Result #2226143
Linear OA(2228, 276, F2, 82) (dual of [276, 48, 83]-code), using 2 times truncation based on linear OA(2230, 278, F2, 84) (dual of [278, 48, 85]-code), using
- strength reduction [i] based on linear OA(2230, 278, F2, 85) (dual of [278, 48, 86]-code), using
- construction X applied to Ce(84) ⊂ Ce(62) [i] based on
- linear OA(2209, 256, F2, 85) (dual of [256, 47, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(2201, 256, F2, 63) (dual of [256, 55, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(221, 22, F2, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,2)), using
- dual of repetition code with length 22 [i]
- construction X applied to Ce(84) ⊂ Ce(62) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2228, 138, F2, 2, 82) (dual of [(138, 2), 48, 83]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2228, 92, F2, 3, 82) (dual of [(92, 3), 48, 83]-NRT-code) | [i] | ||