Information on Result #673628
Linear OA(250, 265, F2, 13) (dual of [265, 215, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(249, 256, F2, 13) (dual of [256, 207, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(241, 256, F2, 11) (dual of [256, 215, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 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(249, 264, F2, 12) (dual of [264, 215, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(250, 132, F2, 2, 13) (dual of [(132, 2), 214, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(250, 88, F2, 3, 13) (dual of [(88, 3), 214, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(250, 66, F2, 4, 13) (dual of [(66, 4), 214, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(250, 53, F2, 5, 13) (dual of [(53, 5), 215, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(250, 44, F2, 6, 13) (dual of [(44, 6), 214, 14]-NRT-code) | [i] | ||