Information on Result #684067
Linear OA(5110, 136, F5, 68) (dual of [136, 26, 69]-code), using construction X applied to Ce(67) ⊂ Ce(62) based on
- 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(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(55, 11, F5, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-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(5109, 135, F5, 67) (dual of [135, 26, 68]-code) | [i] | Truncation | |
| 2 | Linear OA(5108, 134, F5, 66) (dual of [134, 26, 67]-code) | [i] | ||
| 3 | Linear OA(5118, 146, F5, 68) (dual of [146, 28, 69]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(5116, 144, F5, 67) (dual of [144, 28, 68]-code) | [i] | ||
| 5 | Linear OA(5119, 148, F5, 68) (dual of [148, 29, 69]-code) | [i] | ||
| 6 | Linear OOA(5110, 68, F5, 2, 68) (dual of [(68, 2), 26, 69]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(5110, 45, F5, 3, 68) (dual of [(45, 3), 25, 69]-NRT-code) | [i] | ||