Information on Result #1323441
Linear OA(2259, 4161, F2, 41) (dual of [4161, 3902, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,16]) 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(218, 64, F2, 7) (dual of [64, 46, 8]-code), using
- adding a parity check bit [i] based on linear OA(217, 63, F2, 6) (dual of [63, 46, 7]-code), using
- a “cy†code from Brouwer’s database [i]
- adding a parity check bit [i] based on linear OA(217, 63, F2, 6) (dual of [63, 46, 7]-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 OA(2258, 4160, F2, 40) (dual of [4160, 3902, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(2259, 2080, F2, 2, 41) (dual of [(2080, 2), 3901, 42]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2259, 1387, F2, 3, 41) (dual of [(1387, 3), 3902, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(2259, 1040, F2, 4, 41) (dual of [(1040, 4), 3901, 42]-NRT-code) | [i] | ||
| 5 | Linear OOA(2259, 832, F2, 5, 41) (dual of [(832, 5), 3901, 42]-NRT-code) | [i] | ||