Information on Result #2618091
Linear OOA(2231, 85, F2, 3, 130) (dual of [(85, 3), 24, 131]-NRT-code), using strength reduction based on linear OOA(2231, 85, F2, 3, 131) (dual of [(85, 3), 24, 132]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using
- extended Reed–Solomon code RSe(6,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), 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(2234, 86, F2, 3, 130) (dual of [(86, 3), 24, 131]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2232, 85, F2, 3, 130) (dual of [(85, 3), 23, 131]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2233, 85, F2, 3, 130) (dual of [(85, 3), 22, 131]-NRT-code) | [i] | ||