Information on Result #944535
Linear OOA(525, 195316, F5, 3, 4) (dual of [(195316, 3), 585923, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(525, 390632, F5, 4) (dual of [390632, 390607, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(525, 390633, F5, 4) (dual of [390633, 390608, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(525, 390625, F5, 4) (dual of [390625, 390600, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(517, 390625, F5, 3) (dual of [390625, 390608, 4]-code or 390625-cap in PG(16,5)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 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(3) ⊂ Ce(2) [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(525, 195316, F5, 4, 4) (dual of [(195316, 4), 781239, 5]-NRT-code) | [i] | Appending kth Column | |