Information on Result #686775
Linear OA(8114, 32781, F8, 26) (dual of [32781, 32667, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(83, 13, F8, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-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(8114, 25007, F8, 2, 26) (dual of [(25007, 2), 49900, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8114, 25007, F8, 3, 26) (dual of [(25007, 3), 74907, 27]-NRT-code) | [i] | ||
| 3 | Digital (88, 114, 25007)-net over F8 | [i] | ||
| 4 | Linear OOA(8114, 16390, F8, 2, 26) (dual of [(16390, 2), 32666, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8114, 10927, F8, 3, 26) (dual of [(10927, 3), 32667, 27]-NRT-code) | [i] | ||