Information on Result #697702
Linear OA(3279, 1060, F32, 35) (dual of [1060, 981, 36]-code), using construction X applied to Ce(34) ⊂ Ce(21) based on
- linear OA(3266, 1024, F32, 35) (dual of [1024, 958, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3243, 1024, F32, 22) (dual of [1024, 981, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3213, 36, F32, 12) (dual of [36, 23, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, 43, F32, 12) (dual of [43, 30, 13]-code), using
- algebraic-geometric code AG(F,30P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3213, 43, F32, 12) (dual of [43, 30, 13]-code), 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(3279, 530, F32, 2, 35) (dual of [(530, 2), 981, 36]-NRT-code) | [i] | OOA Folding | |