Information on Result #1012942
Linear OOA(550, 651070, F5, 3, 7) (dual of [(651070, 3), 1953160, 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(546, 651044, F5, 3, 7) (dual of [(651044, 3), 1953086, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(546, 1953132, F5, 7) (dual of [1953132, 1953086, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(546, 1953134, F5, 7) (dual of [1953134, 1953088, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(546, 1953125, F5, 7) (dual of [1953125, 1953079, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(537, 1953125, F5, 6) (dual of [1953125, 1953088, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 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(546, 1953134, F5, 7) (dual of [1953134, 1953088, 8]-code), using
- OOA 3-folding [i] based on linear OA(546, 1953132, F5, 7) (dual of [1953132, 1953086, 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(550, 651069, F5, 9, 7) (dual of [(651069, 9), 5859571, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |