Information on Result #672820
Linear OA(2102, 4113, F2, 17) (dual of [4113, 4011, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
- linear OA(297, 4097, F2, 17) (dual of [4097, 4000, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(273, 4097, F2, 13) (dual of [4097, 4024, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(2101, 4112, F2, 16) (dual of [4112, 4011, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(2102, 514, F2, 17, 17) (dual of [(514, 17), 8636, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |