Information on Result #904599
Linear OOA(8173, 265886, F81, 2, 20) (dual of [(265886, 2), 531699, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8115, 164, F81, 2, 10) (dual of [(164, 2), 313, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;159,81) [i]
- linear OOA(8110, 82, F81, 2, 10) (dual of [(82, 2), 154, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;154,81) [i]
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8158, 265722, F81, 2, 20) (dual of [(265722, 2), 531386, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8158, 531444, F81, 20) (dual of [531444, 531386, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(8158, 531444, F81, 20) (dual of [531444, 531386, 21]-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(8173, 132943, F81, 4, 20) (dual of [(132943, 4), 531699, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8173, 53177, F81, 22, 20) (dual of [(53177, 22), 1169821, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |