Information on Result #684096
Linear OA(571, 138, F5, 32) (dual of [138, 67, 33]-code), using construction X applied to Ce(31) ⊂ Ce(23) based on
- linear OA(562, 125, F5, 32) (dual of [125, 63, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(558, 125, F5, 24) (dual of [125, 67, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(59, 13, F5, 7) (dual of [13, 4, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 13 | 54−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [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(571, 69, F5, 2, 32) (dual of [(69, 2), 67, 33]-NRT-code) | [i] | OOA Folding | |