Information on Result #839666
Linear OOA(5100, 53, F5, 2, 78) (dual of [(53, 2), 6, 79]-NRT-code), using OOA 2-folding based on linear OA(5100, 106, F5, 78) (dual of [106, 6, 79]-code), using
- strength reduction [i] based on linear OA(5100, 106, F5, 79) (dual of [106, 6, 80]-code), using
- construction X applied to Ce(78) ⊂ Ce(77) [i] based on
- linear OA(5100, 105, F5, 79) (dual of [105, 5, 80]-code), using an extension Ce(78) of the narrow-sense BCH-code C(I) with length 104 | 54−1, defining interval I = [1,78], and designed minimum distance d ≥ |I|+1 = 79 [i]
- linear OA(599, 105, F5, 78) (dual of [105, 6, 79]-code), using an extension Ce(77) of the narrow-sense BCH-code C(I) with length 104 | 54−1, defining interval I = [1,77], and designed minimum distance d ≥ |I|+1 = 78 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 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
- construction X applied to Ce(78) ⊂ Ce(77) [i] based on
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 OOA(5100, 53, F5, 2, 77) (dual of [(53, 2), 6, 78]-NRT-code) | [i] | Strength Reduction for OOAs | |