Information on Result #1020191
Linear OOA(25650, 22362, F256, 3, 18) (dual of [(22362, 3), 67036, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25615, 516, F256, 3, 9) (dual of [(516, 3), 1533, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 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, 5, 258)-net over F256, using
- linear OOA(25610, 258, F256, 3, 9) (dual of [(258, 3), 764, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 10, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- extracting embedded OOA [i] based on digital (1, 10, 258)-net over F256, using
- linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25635, 21846, F256, 3, 18) (dual of [(21846, 3), 65503, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25635, 65538, F256, 18) (dual of [65538, 65503, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(25635, 65538, F256, 18) (dual of [65538, 65503, 19]-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, 11181, F256, 6, 18) (dual of [(11181, 6), 67036, 19]-NRT-code) | [i] | OOA Folding | |