Information on Result #894138
Linear OOA(2131, 4194378, F2, 2, 11) (dual of [(4194378, 2), 8388625, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(215, 77, F2, 2, 5) (dual of [(77, 2), 139, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 15, 77)-net over F2, using
- linear OOA(2116, 4194301, F2, 2, 11) (dual of [(4194301, 2), 8388486, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2116, 8388602, F2, 11) (dual of [8388602, 8388486, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- OOA 2-folding [i] based on linear OA(2116, 8388602, F2, 11) (dual of [8388602, 8388486, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2131, 2097189, F2, 4, 11) (dual of [(2097189, 4), 8388625, 12]-NRT-code) | [i] | OOA Folding | |