Information on Result #1095281
Linear OOA(2104, 26218, F2, 5, 13) (dual of [(26218, 5), 130986, 14]-NRT-code), using OOA 5-folding based on linear OA(2104, 131090, F2, 13) (dual of [131090, 130986, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(2103, 131072, F2, 13) (dual of [131072, 130969, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(286, 131072, F2, 11) (dual of [131072, 130986, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 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(2104, 26218, F2, 5, 12) (dual of [(26218, 5), 130986, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2105, 26218, F2, 5, 13) (dual of [(26218, 5), 130985, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2106, 26218, F2, 5, 13) (dual of [(26218, 5), 130984, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2107, 26218, F2, 5, 13) (dual of [(26218, 5), 130983, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2104, 26218, F2, 6, 13) (dual of [(26218, 6), 157204, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(2104, 26218, F2, 7, 13) (dual of [(26218, 7), 183422, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(2104, 26218, F2, 8, 13) (dual of [(26218, 8), 209640, 14]-NRT-code) | [i] | ||
| 8 | Digital (91, 104, 26218)-net over F2 | [i] | ||