Information on Result #1132456
Linear OOA(2222, 21848, F2, 6, 26) (dual of [(21848, 6), 130866, 27]-NRT-code), using OOA 6-folding based on linear OA(2222, 131088, F2, 26) (dual of [131088, 130866, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2222, 131089, F2, 26) (dual of [131089, 130867, 27]-code), using
- 1 times truncation [i] based on linear OA(2223, 131090, F2, 27) (dual of [131090, 130867, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2222, 131072, F2, 27) (dual of [131072, 130850, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2205, 131072, F2, 25) (dual of [131072, 130867, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- 1 times truncation [i] based on linear OA(2223, 131090, F2, 27) (dual of [131090, 130867, 28]-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(2224, 21848, F2, 6, 26) (dual of [(21848, 6), 130864, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2225, 21848, F2, 6, 26) (dual of [(21848, 6), 130863, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2222, 20935, F2, 7, 26) (dual of [(20935, 7), 146323, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(2222, 20935, F2, 8, 26) (dual of [(20935, 8), 167258, 27]-NRT-code) | [i] | ||
| 5 | Digital (196, 222, 20935)-net over F2 | [i] | ||