Information on Result #686576
Linear OA(8171, 262206, F8, 30) (dual of [262206, 262035, 31]-code), using construction X applied to Ce(29) ⊂ Ce(20) based on
- linear OA(8157, 262144, F8, 30) (dual of [262144, 261987, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(814, 62, F8, 8) (dual of [62, 48, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-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(8171, 131103, F8, 2, 30) (dual of [(131103, 2), 262035, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8171, 87402, F8, 3, 30) (dual of [(87402, 3), 262035, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(8171, 17480, F8, 30, 30) (dual of [(17480, 30), 524229, 31]-NRT-code) | [i] | OA Folding and Stacking | |