Information on Result #672789
Linear OA(292, 8191, F2, 15) (dual of [8191, 8099, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16
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 OA(293, 8207, F2, 14) (dual of [8207, 8114, 15]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
2 | Linear OOA(292, 2730, F2, 3, 15) (dual of [(2730, 3), 8098, 16]-NRT-code) | [i] | OOA Folding | |
3 | Linear OOA(292, 1638, F2, 5, 15) (dual of [(1638, 5), 8098, 16]-NRT-code) | [i] | ||
4 | Linear OOA(292, 1365, F2, 6, 15) (dual of [(1365, 6), 8098, 16]-NRT-code) | [i] | ||
5 | Linear OOA(292, 1170, F2, 7, 15) (dual of [(1170, 7), 8098, 16]-NRT-code) | [i] | ||
6 | Linear OOA(292, 1170, F2, 8, 15) (dual of [(1170, 8), 9268, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
7 | Linear OOA(292, 1170, F2, 15, 15) (dual of [(1170, 15), 17458, 16]-NRT-code) | [i] |