Information on Result #684083
Linear OA(587, 132, F5, 44) (dual of [132, 45, 45]-code), using construction X applied to Ce(43) ⊂ Ce(41) based on
- linear OA(586, 125, F5, 44) (dual of [125, 39, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(580, 125, F5, 42) (dual of [125, 45, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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(588, 133, F5, 44) (dual of [133, 45, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(587, 66, F5, 2, 44) (dual of [(66, 2), 45, 45]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(587, 44, F5, 3, 44) (dual of [(44, 3), 45, 45]-NRT-code) | [i] | ||