Information on Result #857225
Linear OOA(1684, 2067, F16, 2, 26) (dual of [(2067, 2), 4050, 27]-NRT-code), using OOA 2-folding based on linear OA(1684, 4134, F16, 26) (dual of [4134, 4050, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(16) [i] based on
- linear OA(1673, 4096, F16, 26) (dual of [4096, 4023, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1611, 38, F16, 8) (dual of [38, 27, 9]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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(1686, 2068, F16, 2, 26) (dual of [(2068, 2), 4050, 27]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(1685, 2067, F16, 2, 26) (dual of [(2067, 2), 4049, 27]-NRT-code) | [i] | OOA Duplication | |