Information on Result #1118705
Linear OOA(25627, 13365, F256, 5, 11) (dual of [(13365, 5), 66798, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2566, 258, F256, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(2566, 258, F256, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 6, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 6, 258)-net over F256, using
- appending kth column [i] based on linear OOA(2566, 258, F256, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
- linear OOA(25621, 13107, F256, 5, 11) (dual of [(13107, 5), 65514, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25621, 65535, F256, 11) (dual of [65535, 65514, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using
- OOA 5-folding [i] based on linear OA(25621, 65535, F256, 11) (dual of [65535, 65514, 12]-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 OOA(25627, 13364, F256, 6, 11) (dual of [(13364, 6), 80157, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(25627, 13364, F256, 15, 11) (dual of [(13364, 15), 200433, 12]-NRT-code) | [i] | ||