Information on Result #1082785
Linear OOA(8182, 132943, F81, 4, 24) (dual of [(132943, 4), 531690, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8112, 82, F81, 4, 12) (dual of [(82, 4), 316, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;316,81) [i]
- linear OOA(8170, 132861, F81, 4, 24) (dual of [(132861, 4), 531374, 25]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8170, 531444, F81, 24) (dual of [531444, 531374, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8167, 531441, F81, 23) (dual of [531441, 531374, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- OOA 4-folding [i] based on linear OA(8170, 531444, F81, 24) (dual of [531444, 531374, 25]-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(8182, 44314, F81, 28, 24) (dual of [(44314, 28), 1240710, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |