Information on Result #1686737
Linear OOA(2222, 20935, F2, 7, 26) (dual of [(20935, 7), 146323, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2222, 20935, F2, 6, 26) (dual of [(20935, 6), 125388, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2222, 21848, F2, 6, 26) (dual of [(21848, 6), 130866, 27]-NRT-code), using
- OOA 6-folding [i] 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
- discarding factors / shortening the dual code based on linear OA(2222, 131089, F2, 26) (dual of [131089, 130867, 27]-code), using
- OOA 6-folding [i] based on linear OA(2222, 131088, F2, 26) (dual of [131088, 130866, 27]-code), using
Mode: 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(2222, 10467, F2, 35, 26) (dual of [(10467, 35), 366123, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |