Information on Result #672961
Linear OA(224, 2060, F2, 5) (dual of [2060, 2036, 6]-code), using construction X applied to Ce(4) ⊂ Ce(2) based on
- linear OA(223, 2048, F2, 5) (dual of [2048, 2025, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(212, 2048, F2, 3) (dual of [2048, 2036, 4]-code or 2048-cap in PG(11,2)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(21, 12, F2, 1) (dual of [12, 11, 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 OOA(224, 1030, F2, 2, 5) (dual of [(1030, 2), 2036, 6]-NRT-code) | [i] | OOA Folding | |