Information on Result #737721
Linear OA(572, 145, F5, 31) (dual of [145, 73, 32]-code), using construction X applied to Ce(30) ⊂ Ce(21) 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(552, 125, F5, 22) (dual of [125, 73, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(511, 20, F5, 8) (dual of [20, 9, 9]-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(570, 143, F5, 29) (dual of [143, 73, 30]-code) | [i] | Truncation | |
| 2 | Linear OOA(572, 72, F5, 2, 31) (dual of [(72, 2), 72, 32]-NRT-code) | [i] | OOA Folding | |