Information on Result #686481
Linear OA(886, 262157, F8, 16) (dual of [262157, 262071, 17]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 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(886, 262157, F8, 2, 16) (dual of [(262157, 2), 524228, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(886, 262157, F8, 3, 16) (dual of [(262157, 3), 786385, 17]-NRT-code) | [i] | ||
| 3 | Digital (70, 86, 262157)-net over F8 | [i] | ||
| 4 | Linear OOA(886, 131078, F8, 2, 16) (dual of [(131078, 2), 262070, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(886, 87385, F8, 3, 16) (dual of [(87385, 3), 262069, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(886, 32769, F8, 16, 16) (dual of [(32769, 16), 524218, 17]-NRT-code) | [i] | OA Folding and Stacking | |