Information on Result #684036
Linear OA(573, 130, F5, 37) (dual of [130, 57, 38]-code), using construction X applied to Ce(36) ⊂ Ce(33) based on
- linear OA(571, 125, F5, 37) (dual of [125, 54, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(568, 125, F5, 34) (dual of [125, 57, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(572, 129, F5, 36) (dual of [129, 57, 37]-code) | [i] | Truncation | |
| 2 | Linear OA(580, 147, F5, 37) (dual of [147, 67, 38]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OOA(573, 65, F5, 2, 37) (dual of [(65, 2), 57, 38]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(573, 43, F5, 3, 37) (dual of [(43, 3), 56, 38]-NRT-code) | [i] | ||