Information on Result #684016
Linear OA(5108, 128, F5, 69) (dual of [128, 20, 70]-code), using construction X applied to Ce(68) ⊂ Ce(67) based on
- linear OA(5108, 125, F5, 69) (dual of [125, 17, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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.
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(5109, 129, F5, 69) (dual of [129, 20, 70]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5110, 130, F5, 69) (dual of [130, 20, 70]-code) | [i] | ||
| 3 | Linear OA(5107, 127, F5, 68) (dual of [127, 20, 69]-code) | [i] | Truncation | |
| 4 | Linear OA(5106, 126, F5, 67) (dual of [126, 20, 68]-code) | [i] | ||
| 5 | Linear OOA(5108, 64, F5, 2, 69) (dual of [(64, 2), 20, 70]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(5108, 42, F5, 3, 69) (dual of [(42, 3), 18, 70]-NRT-code) | [i] | ||