Information on Result #2225847
Linear OA(2170, 1039, F2, 34) (dual of [1039, 869, 35]-code), using 1 times truncation based on linear OA(2171, 1040, F2, 35) (dual of [1040, 869, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(2166, 1024, F2, 35) (dual of [1024, 858, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2151, 1024, F2, 31) (dual of [1024, 873, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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 OOA(2170, 519, F2, 2, 34) (dual of [(519, 2), 868, 35]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2170, 346, F2, 3, 34) (dual of [(346, 3), 868, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(2170, 259, F2, 4, 34) (dual of [(259, 4), 866, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(2170, 207, F2, 5, 34) (dual of [(207, 5), 865, 35]-NRT-code) | [i] | ||
| 5 | Linear OOA(2170, 173, F2, 6, 34) (dual of [(173, 6), 868, 35]-NRT-code) | [i] | ||
| 6 | Linear OOA(2170, 148, F2, 7, 34) (dual of [(148, 7), 866, 35]-NRT-code) | [i] | ||