Information on Result #1297469
Linear OA(2239, 289, F2, 84) (dual of [289, 50, 85]-code), using construction X with Varšamov bound based on
- linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(2208, 258, F2, 67) (dual of [258, 50, 68]-code), using Gilbert–Varšamov bound and bm = 2208 > Vbs−1(k−1) = 332 000735 310063 898030 184644 399038 924416 511403 877577 778458 635818 [i]
- linear OA(228, 31, F2, 16) (dual of [31, 3, 17]-code), using
- 1 times truncation [i] based on linear OA(229, 32, F2, 17) (dual of [32, 3, 18]-code), using
- a code of Belov type defined by 5×PG(2,2) ∖ PG(1,2) [i]
- 1 times truncation [i] based on linear OA(229, 32, F2, 17) (dual of [32, 3, 18]-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(2240, 290, F2, 85) (dual of [290, 50, 86]-code) | [i] | Adding a Parity Check Bit | |