Information on Result #1118934
Linear OOA(25650, 13365, F256, 5, 20) (dual of [(13365, 5), 66775, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25611, 258, F256, 5, 10) (dual of [(258, 5), 1279, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 11, 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, 11, 258)-net over F256, using
- linear OOA(25639, 13107, F256, 5, 20) (dual of [(13107, 5), 65496, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25639, 65535, F256, 20) (dual of [65535, 65496, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- OOA 5-folding [i] based on linear OA(25639, 65535, F256, 20) (dual of [65535, 65496, 21]-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(25650, 6682, F256, 25, 20) (dual of [(6682, 25), 167000, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |