Information on Result #682983
Linear OA(526, 3130, F5, 7) (dual of [3130, 3104, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(526, 3125, F5, 7) (dual of [3125, 3099, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(521, 3125, F5, 6) (dual of [3125, 3104, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(528, 3136, F5, 7) (dual of [3136, 3108, 8]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(529, 3160, F5, 7) (dual of [3160, 3131, 8]-code) | [i] | ||
| 3 | Linear OOA(526, 1565, F5, 2, 7) (dual of [(1565, 2), 3104, 8]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(526, 1043, F5, 3, 7) (dual of [(1043, 3), 3103, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(526, 1043, F5, 7, 7) (dual of [(1043, 7), 7275, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |