Information on Result #686528
Linear OA(8109, 262174, F8, 20) (dual of [262174, 262065, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) based on
- linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(879, 262144, F8, 15) (dual of [262144, 262065, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(86, 30, F8, 4) (dual of [30, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-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(8109, 262174, F8, 2, 20) (dual of [(262174, 2), 524239, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8109, 262174, F8, 3, 20) (dual of [(262174, 3), 786413, 21]-NRT-code) | [i] | ||
| 3 | Digital (89, 109, 262174)-net over F8 | [i] | ||
| 4 | Linear OOA(8109, 131087, F8, 2, 20) (dual of [(131087, 2), 262065, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8109, 87391, F8, 3, 20) (dual of [(87391, 3), 262064, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(8109, 26217, F8, 20, 20) (dual of [(26217, 20), 524231, 21]-NRT-code) | [i] | OA Folding and Stacking | |