Information on Result #673153
Linear OA(2185, 1078, F2, 35) (dual of [1078, 893, 36]-code), using construction X applied to Ce(34) ⊂ Ce(26) based on
- linear OA(2166, 1024, F2, 35) (dual of [1024, 858, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2131, 1024, F2, 27) (dual of [1024, 893, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(219, 54, F2, 7) (dual of [54, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-code), 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, 1078, F2, 34) (dual of [1078, 893, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(2185, 539, F2, 2, 35) (dual of [(539, 2), 893, 36]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2185, 154, F2, 7, 35) (dual of [(154, 7), 893, 36]-NRT-code) | [i] | ||