Information on Result #1018830
Linear OOA(8165, 177312, F81, 3, 18) (dual of [(177312, 3), 531871, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8113, 164, F81, 3, 9) (dual of [(164, 3), 479, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(814, 82, F81, 3, 4) (dual of [(82, 3), 242, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;242,81) [i]
- linear OOA(819, 82, F81, 3, 9) (dual of [(82, 3), 237, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;237,81) [i]
- linear OOA(814, 82, F81, 3, 4) (dual of [(82, 3), 242, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8152, 177148, F81, 3, 18) (dual of [(177148, 3), 531392, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8152, 531444, F81, 18) (dual of [531444, 531392, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(8152, 531444, F81, 18) (dual of [531444, 531392, 19]-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(8165, 59103, F81, 21, 18) (dual of [(59103, 21), 1241098, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |