Information on Result #673592
Linear OA(2186, 265, F2, 57) (dual of [265, 79, 58]-code), using construction X applied to Ce(58) ⊂ Ce(54) based on
- linear OA(2185, 256, F2, 59) (dual of [256, 71, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(2177, 256, F2, 55) (dual of [256, 79, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [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(2185, 264, F2, 56) (dual of [264, 79, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(2186, 132, F2, 2, 57) (dual of [(132, 2), 78, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2186, 88, F2, 3, 57) (dual of [(88, 3), 78, 58]-NRT-code) | [i] | ||