Information on Result #1051503
Linear OOA(2122, 262149, F2, 4, 13) (dual of [(262149, 4), 1048474, 14]-NRT-code), using OOA 4-folding based on linear OA(2122, 1048596, F2, 13) (dual of [1048596, 1048474, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2122, 1048597, F2, 13) (dual of [1048597, 1048475, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(2121, 1048576, F2, 13) (dual of [1048576, 1048455, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2101, 1048576, F2, 11) (dual of [1048576, 1048475, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(21, 21, F2, 1) (dual of [21, 20, 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
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
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(2122, 262149, F2, 4, 12) (dual of [(262149, 4), 1048474, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2123, 262149, F2, 4, 13) (dual of [(262149, 4), 1048473, 14]-NRT-code) | [i] | OOA Duplication | |