Information on Result #687993
Linear OA(844, 516, F8, 17) (dual of [516, 472, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
- linear OA(843, 512, F8, 17) (dual of [512, 469, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(840, 512, F8, 15) (dual of [512, 472, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(81, 4, F8, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(844, 348, F8, 2, 17) (dual of [(348, 2), 652, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(844, 348, F8, 3, 17) (dual of [(348, 3), 1000, 18]-NRT-code) | [i] | ||
| 3 | Digital (27, 44, 348)-net over F8 | [i] | ||
| 4 | Linear OA(847, 529, F8, 17) (dual of [529, 482, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(848, 549, F8, 17) (dual of [549, 501, 18]-code) | [i] | ||
| 6 | Linear OA(849, 591, F8, 17) (dual of [591, 542, 18]-code) | [i] | ||
| 7 | Linear OA(850, 658, F8, 17) (dual of [658, 608, 18]-code) | [i] | ||
| 8 | Linear OA(851, 744, F8, 17) (dual of [744, 693, 18]-code) | [i] | ||
| 9 | Linear OOA(844, 258, F8, 2, 17) (dual of [(258, 2), 472, 18]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(844, 172, F8, 3, 17) (dual of [(172, 3), 472, 18]-NRT-code) | [i] | ||