Information on Result #673288
Linear OA(256, 522, F2, 13) (dual of [522, 466, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(255, 512, F2, 13) (dual of [512, 457, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(246, 512, F2, 11) (dual of [512, 466, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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 OA(255, 521, F2, 12) (dual of [521, 466, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(256, 261, F2, 2, 13) (dual of [(261, 2), 466, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(256, 174, F2, 3, 13) (dual of [(174, 3), 466, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(256, 130, F2, 4, 13) (dual of [(130, 4), 464, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(256, 104, F2, 5, 13) (dual of [(104, 5), 464, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(256, 87, F2, 6, 13) (dual of [(87, 6), 466, 14]-NRT-code) | [i] | ||