Information on Result #805572
Linear OOA(228, 33, F2, 2, 10) (dual of [(33, 2), 38, 11]-NRT-code), using OOA 2-folding based on linear OA(228, 66, F2, 10) (dual of [66, 38, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(228, 67, F2, 10) (dual of [67, 39, 11]-code), using
- 1 times truncation [i] based on linear OA(229, 68, F2, 11) (dual of [68, 39, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(228, 64, F2, 11) (dual of [64, 36, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(225, 64, F2, 9) (dual of [64, 39, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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(10) ⊂ Ce(8) [i] based on
- 1 times truncation [i] based on linear OA(229, 68, F2, 11) (dual of [68, 39, 12]-code), 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(2258, 4194334, F2, 2, 20) (dual of [(4194334, 2), 8388410, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2259, 4194334, F2, 2, 21) (dual of [(4194334, 2), 8388409, 22]-NRT-code) | [i] | ||