Information on Result #1012936
Linear OOA(535, 5236, F5, 3, 7) (dual of [(5236, 3), 15673, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(54, 26, F5, 3, 3) (dual of [(26, 3), 74, 4]-NRT-code), using
- linear OOA(531, 5210, F5, 3, 7) (dual of [(5210, 3), 15599, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(531, 15630, F5, 7) (dual of [15630, 15599, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(531, 15631, F5, 7) (dual of [15631, 15600, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(531, 15625, F5, 7) (dual of [15625, 15594, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(525, 15625, F5, 6) (dual of [15625, 15600, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(531, 15631, F5, 7) (dual of [15631, 15600, 8]-code), using
- OOA 3-folding [i] based on linear OA(531, 15630, F5, 7) (dual of [15630, 15599, 8]-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 OOA(535, 5235, F5, 9, 7) (dual of [(5235, 9), 47080, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |