Information on Result #673056
Linear OA(2197, 1035, F2, 41) (dual of [1035, 838, 42]-code), using construction X applied to Ce(40) ⊂ Ce(38) based on
- linear OA(2196, 1024, F2, 41) (dual of [1024, 828, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2186, 1024, F2, 39) (dual of [1024, 838, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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
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 OA(2196, 1034, F2, 40) (dual of [1034, 838, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(2197, 517, F2, 2, 41) (dual of [(517, 2), 837, 42]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2197, 345, F2, 3, 41) (dual of [(345, 3), 838, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(2197, 258, F2, 4, 41) (dual of [(258, 4), 835, 42]-NRT-code) | [i] | ||
| 5 | Linear OOA(2197, 207, F2, 5, 41) (dual of [(207, 5), 838, 42]-NRT-code) | [i] | ||
| 6 | Linear OOA(2197, 172, F2, 6, 41) (dual of [(172, 6), 835, 42]-NRT-code) | [i] | ||
| 7 | Linear OOA(2197, 147, F2, 7, 41) (dual of [(147, 7), 832, 42]-NRT-code) | [i] | ||