Information on Result #1568301
Linear OOA(2106, 2796282, F2, 3, 9) (dual of [(2796282, 3), 8388740, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(213, 81, F2, 3, 4) (dual of [(81, 3), 230, 5]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(213, 81, F2, 4) (dual of [81, 68, 5]-code), using
- 1 times truncation [i] based on linear OA(214, 82, F2, 5) (dual of [82, 68, 6]-code), using
- a “Sh1†code from Brouwer’s database [i]
- 1 times truncation [i] based on linear OA(214, 82, F2, 5) (dual of [82, 68, 6]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(213, 81, F2, 4) (dual of [81, 68, 5]-code), using
- linear OOA(293, 2796201, F2, 3, 9) (dual of [(2796201, 3), 8388510, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2106, 2796282, F2, 4, 9) (dual of [(2796282, 4), 11185022, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2106, 2796282, F2, 5, 9) (dual of [(2796282, 5), 13981304, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(2106, 2796282, F2, 6, 9) (dual of [(2796282, 6), 16777586, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(2106, 2796282, F2, 7, 9) (dual of [(2796282, 7), 19573868, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(2106, 2796282, F2, 8, 9) (dual of [(2796282, 8), 22370150, 10]-NRT-code) | [i] | ||