Information on Result #684093
Linear OA(569, 132, F5, 34) (dual of [132, 63, 35]-code), using construction X applied to Ce(33) ⊂ Ce(31) based on
- 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(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(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(577, 158, F5, 34) (dual of [158, 81, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(578, 165, F5, 34) (dual of [165, 87, 35]-code) | [i] | ||
| 3 | Linear OA(573, 138, F5, 34) (dual of [138, 65, 35]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(574, 140, F5, 34) (dual of [140, 66, 35]-code) | [i] | ||
| 5 | Linear OOA(569, 66, F5, 2, 34) (dual of [(66, 2), 63, 35]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(569, 44, F5, 3, 34) (dual of [(44, 3), 63, 35]-NRT-code) | [i] | ||