Information on Result #673975
Linear OA(2114, 146, F2, 41) (dual of [146, 32, 42]-code), using construction X applied to Ce(42) ⊂ Ce(30) based on
- linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(292, 128, F2, 31) (dual of [128, 36, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(215, 18, F2, 9) (dual of [18, 3, 10]-code), using
- a code of Belov type defined by 3×PG(2,2) ∖ PG(1,2) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2113, 145, F2, 40) (dual of [145, 32, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(2114, 73, F2, 2, 41) (dual of [(73, 2), 32, 42]-NRT-code) | [i] | OOA Folding | |