Information on Result #682425
Linear OA(5142, 78133, F5, 26) (dual of [78133, 77991, 27]-code), using construction X applied to Ce(25) ⊂ Ce(23) based on
- linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(51, 8, F5, 1) (dual of [8, 7, 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(5141, 78132, F5, 25) (dual of [78132, 77991, 26]-code) | [i] | Truncation | |
| 2 | Linear OOA(5142, 39066, F5, 2, 26) (dual of [(39066, 2), 77990, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5142, 26044, F5, 3, 26) (dual of [(26044, 3), 77990, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(5142, 6010, F5, 26, 26) (dual of [(6010, 26), 156118, 27]-NRT-code) | [i] | OA Folding and Stacking | |