Information on Result #904329
Linear OOA(8140, 269044, F81, 2, 11) (dual of [(269044, 2), 538048, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 3322, F81, 2, 5) (dual of [(3322, 2), 6635, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(812, 82, F81, 2, 2) (dual of [(82, 2), 162, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;162,81) [i]
- linear OOA(817, 3240, F81, 2, 5) (dual of [(3240, 2), 6473, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(817, 6480, F81, 5) (dual of [6480, 6473, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OOA 2-folding [i] based on linear OA(817, 6480, F81, 5) (dual of [6480, 6473, 6]-code), using
- linear OOA(812, 82, F81, 2, 2) (dual of [(82, 2), 162, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8131, 265722, F81, 2, 11) (dual of [(265722, 2), 531413, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8131, 531444, F81, 11) (dual of [531444, 531413, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(8131, 531441, F81, 11) (dual of [531441, 531410, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(8128, 531441, F81, 10) (dual of [531441, 531413, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [i] based on
- OOA 2-folding [i] based on linear OA(8131, 531444, F81, 11) (dual of [531444, 531413, 12]-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(8140, 134522, F81, 4, 11) (dual of [(134522, 4), 538048, 12]-NRT-code) | [i] | OOA Folding | |