Information on Result #673282
Linear OA(292, 522, F2, 21) (dual of [522, 430, 22]-code), using construction X applied to Ce(20) ⊂ Ce(18) based on
- linear OA(291, 512, F2, 21) (dual of [512, 421, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(282, 512, F2, 19) (dual of [512, 430, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(291, 521, F2, 20) (dual of [521, 430, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(292, 261, F2, 2, 21) (dual of [(261, 2), 430, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(292, 174, F2, 3, 21) (dual of [(174, 3), 430, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(292, 130, F2, 4, 21) (dual of [(130, 4), 428, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(292, 104, F2, 5, 21) (dual of [(104, 5), 428, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(292, 87, F2, 6, 21) (dual of [(87, 6), 430, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(292, 74, F2, 7, 21) (dual of [(74, 7), 426, 22]-NRT-code) | [i] | ||