Information on Result #2259737
Linear OA(2228, 16401, F2, 33) (dual of [16401, 16173, 34]-code), using 2 times code embedding in larger space based on linear OA(2226, 16399, F2, 33) (dual of [16399, 16173, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(2225, 16384, F2, 33) (dual of [16384, 16159, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2211, 16384, F2, 31) (dual of [16384, 16173, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(21, 15, F2, 1) (dual of [15, 14, 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(2228, 5467, F2, 3, 33) (dual of [(5467, 3), 16173, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2228, 2343, F2, 7, 33) (dual of [(2343, 7), 16173, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(2228, 1025, F2, 33, 33) (dual of [(1025, 33), 33597, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |