Information on Result #1095287
Linear OOA(2116, 104861, F2, 5, 13) (dual of [(104861, 5), 524189, 14]-NRT-code), using OOA 5-folding based on linear OA(2116, 524305, F2, 13) (dual of [524305, 524189, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2116, 524308, F2, 13) (dual of [524308, 524192, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(2115, 524288, F2, 13) (dual of [524288, 524173, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(296, 524288, F2, 11) (dual of [524288, 524192, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 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(12) ⊂ Ce(10) [i] based on
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(2116, 104861, F2, 5, 12) (dual of [(104861, 5), 524189, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2116, 104861, F2, 6, 13) (dual of [(104861, 6), 629050, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(2116, 104861, F2, 7, 13) (dual of [(104861, 7), 733911, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2116, 104861, F2, 8, 13) (dual of [(104861, 8), 838772, 14]-NRT-code) | [i] | ||
| 5 | Digital (103, 116, 104861)-net over F2 | [i] | ||