Information on Result #672787
Linear OA(2196, 8244, F2, 29) (dual of [8244, 8048, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(2183, 8192, F2, 29) (dual of [8192, 8009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2144, 8192, F2, 23) (dual of [8192, 8048, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(213, 52, F2, 5) (dual of [52, 39, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-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(2195, 8243, F2, 28) (dual of [8243, 8048, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(2196, 4122, F2, 2, 29) (dual of [(4122, 2), 8048, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2196, 2748, F2, 3, 29) (dual of [(2748, 3), 8048, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2196, 2061, F2, 4, 29) (dual of [(2061, 4), 8048, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(2196, 1374, F2, 6, 29) (dual of [(1374, 6), 8048, 30]-NRT-code) | [i] | ||