Information on Result #671244
Linear OA(12863, 16792, F128, 22) (dual of [16792, 16729, 23]-code), using (u, u+v)-construction based on
- linear OA(12820, 408, F128, 11) (dual of [408, 388, 12]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(1283, 129, F128, 3) (dual of [129, 126, 4]-code or 129-arc in PG(2,128) or 129-cap in PG(2,128)), using
- extended Reed–Solomon code RSe(126,128) [i]
- linear OA(1285, 129, F128, 5) (dual of [129, 124, 6]-code or 129-arc in PG(4,128)), using
- extended Reed–Solomon code RSe(124,128) [i]
- linear OA(12812, 150, F128, 11) (dual of [150, 138, 12]-code), using
- extended algebraic-geometric code AGe(F,138P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1283, 129, F128, 3) (dual of [129, 126, 4]-code or 129-arc in PG(2,128) or 129-cap in PG(2,128)), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
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(12863, 1526, F128, 22, 22) (dual of [(1526, 22), 33509, 23]-NRT-code) | [i] | OA Folding and Stacking | |