Information on Result #737715
Linear OA(570, 140, F5, 31) (dual of [140, 70, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(555, 125, F5, 23) (dual of [125, 70, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(59, 15, F5, 7) (dual of [15, 6, 8]-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 OA(569, 139, F5, 30) (dual of [139, 70, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(568, 138, F5, 29) (dual of [138, 70, 30]-code) | [i] | ||
| 3 | Linear OOA(570, 70, F5, 2, 31) (dual of [(70, 2), 70, 32]-NRT-code) | [i] | OOA Folding | |