Information on Result #2299163
Linear OA(2259, 4163, F2, 40) (dual of [4163, 3904, 41]-code), using 1 times truncation based on linear OA(2260, 4164, F2, 41) (dual of [4164, 3904, 42]-code), using
- construction X applied to C([0,20]) ⊂ C([0,16]) [i] based on
- linear OA(2241, 4097, F2, 41) (dual of [4097, 3856, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(2193, 4097, F2, 33) (dual of [4097, 3904, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(219, 67, F2, 7) (dual of [67, 48, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(219, 69, F2, 7) (dual of [69, 50, 8]-code), using
- a “Sh1†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(219, 69, F2, 7) (dual of [69, 50, 8]-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(2259, 2081, F2, 2, 40) (dual of [(2081, 2), 3903, 41]-NRT-code) | [i] | OOA Folding | |