Information on Result #686320
Linear OA(870, 2097186, F8, 11) (dual of [2097186, 2097116, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(836, 2097152, F8, 6) (dual of [2097152, 2097116, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(86, 34, F8, 4) (dual of [34, 28, 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(870, 2097186, F8, 2, 11) (dual of [(2097186, 2), 4194302, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(870, 2097186, F8, 3, 11) (dual of [(2097186, 3), 6291488, 12]-NRT-code) | [i] | ||
| 3 | Digital (59, 70, 2097186)-net over F8 | [i] | ||
| 4 | Linear OOA(870, 1048593, F8, 2, 11) (dual of [(1048593, 2), 2097116, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(870, 699062, F8, 3, 11) (dual of [(699062, 3), 2097116, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(870, 419437, F8, 11, 11) (dual of [(419437, 11), 4613737, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |