Information on Result #673266
Linear OA(2182, 522, F2, 43) (dual of [522, 340, 44]-code), using construction X applied to Ce(42) ⊂ Ce(40) based on
- linear OA(2181, 512, F2, 43) (dual of [512, 331, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2172, 512, F2, 41) (dual of [512, 340, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2181, 521, F2, 42) (dual of [521, 340, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(2182, 261, F2, 2, 43) (dual of [(261, 2), 340, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2182, 174, F2, 3, 43) (dual of [(174, 3), 340, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(2182, 130, F2, 4, 43) (dual of [(130, 4), 338, 44]-NRT-code) | [i] | ||
| 5 | Linear OOA(2182, 104, F2, 5, 43) (dual of [(104, 5), 338, 44]-NRT-code) | [i] | ||