Information on Result #870393
Linear OOA(3296, 16406, F32, 2, 29) (dual of [(16406, 2), 32716, 30]-NRT-code), using OOA 2-folding based on linear OA(3296, 32812, F32, 29) (dual of [32812, 32716, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(17) [i] based on
- linear OA(3285, 32768, F32, 29) (dual of [32768, 32683, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3211, 44, F32, 10) (dual of [44, 33, 11]-code), using
- extended algebraic-geometric code AGe(F,33P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, 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(3298, 16407, F32, 2, 29) (dual of [(16407, 2), 32716, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3297, 16406, F32, 2, 29) (dual of [(16406, 2), 32715, 30]-NRT-code) | [i] | OOA Duplication | |