Information on Result #686467
Linear OA(8164, 262157, F8, 31) (dual of [262157, 261993, 32]-code), using construction X applied to Ce(30) ⊂ Ce(28) based on
- linear OA(8163, 262144, F8, 31) (dual of [262144, 261981, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(8164, 198598, F8, 2, 31) (dual of [(198598, 2), 397032, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8164, 198598, F8, 3, 31) (dual of [(198598, 3), 595630, 32]-NRT-code) | [i] | ||
| 3 | Digital (133, 164, 198598)-net over F8 | [i] | ||
| 4 | Linear OOA(8164, 131078, F8, 2, 31) (dual of [(131078, 2), 261992, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8164, 87385, F8, 3, 31) (dual of [(87385, 3), 261991, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(8164, 17477, F8, 31, 31) (dual of [(17477, 31), 541623, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |