Information on Result #2226919
Linear OA(2253, 521, F2, 60) (dual of [521, 268, 61]-code), using 1 times truncation based on linear OA(2254, 522, F2, 61) (dual of [522, 268, 62]-code), using
- construction X applied to Ce(60) ⊂ Ce(58) [i] based on
- linear OA(2253, 512, F2, 61) (dual of [512, 259, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(2244, 512, F2, 59) (dual of [512, 268, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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
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(2253, 260, F2, 2, 60) (dual of [(260, 2), 267, 61]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2253, 173, F2, 3, 60) (dual of [(173, 3), 266, 61]-NRT-code) | [i] | ||