Information on Result #1663088
Linear OOA(2111, 396, F2, 6, 22) (dual of [(396, 6), 2265, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2111, 396, F2, 2, 22) (dual of [(396, 2), 681, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2111, 517, F2, 2, 22) (dual of [(517, 2), 923, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2111, 1034, F2, 22) (dual of [1034, 923, 23]-code), using
- 1 times truncation [i] based on linear OA(2112, 1035, F2, 23) (dual of [1035, 923, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(2111, 1024, F2, 23) (dual of [1024, 913, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2101, 1024, F2, 21) (dual of [1024, 923, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 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(22) ⊂ Ce(20) [i] based on
- 1 times truncation [i] based on linear OA(2112, 1035, F2, 23) (dual of [1035, 923, 24]-code), using
- OOA 2-folding [i] based on linear OA(2111, 1034, F2, 22) (dual of [1034, 923, 23]-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(2111, 197, F2, 30, 22) (dual of [(197, 30), 5799, 23]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |