Information on Result #1051693
Linear OOA(279, 515, F2, 4, 15) (dual of [(515, 4), 1981, 16]-NRT-code), using OOA 4-folding based on linear OA(279, 2060, F2, 15) (dual of [2060, 1981, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(278, 2048, F2, 15) (dual of [2048, 1970, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(267, 2048, F2, 13) (dual of [2048, 1981, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(283, 516, F2, 4, 15) (dual of [(516, 4), 1981, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(280, 515, F2, 4, 15) (dual of [(515, 4), 1980, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(281, 515, F2, 4, 15) (dual of [(515, 4), 1979, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(282, 515, F2, 4, 15) (dual of [(515, 4), 1978, 16]-NRT-code) | [i] | ||