Information on Result #1509248
Linear OOA(246, 1030, F2, 3, 8) (dual of [(1030, 3), 3044, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(246, 1030, F2, 2, 8) (dual of [(1030, 2), 2014, 9]-NRT-code), using
- strength reduction [i] based on linear OOA(246, 1030, F2, 2, 9) (dual of [(1030, 2), 2014, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(246, 2060, F2, 9) (dual of [2060, 2014, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(245, 2048, F2, 9) (dual of [2048, 2003, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(234, 2048, F2, 7) (dual of [2048, 2014, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(246, 2060, F2, 9) (dual of [2060, 2014, 10]-code), using
Mode: 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(2230, 2797231, F2, 3, 16) (dual of [(2797231, 3), 8391463, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2231, 2797231, F2, 3, 17) (dual of [(2797231, 3), 8391462, 18]-NRT-code) | [i] | ||