Information on Result #687201
Linear OA(821, 4100, F8, 6) (dual of [4100, 4079, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(821, 4096, F8, 6) (dual of [4096, 4075, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(817, 4096, F8, 5) (dual of [4096, 4079, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-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(821, 4100, F8, 2, 6) (dual of [(4100, 2), 8179, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(821, 4100, F8, 3, 6) (dual of [(4100, 3), 12279, 7]-NRT-code) | [i] | ||
| 3 | Digital (15, 21, 4100)-net over F8 | [i] | ||
| 4 | Linear OOA(821, 2050, F8, 2, 6) (dual of [(2050, 2), 4079, 7]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(821, 1366, F8, 3, 6) (dual of [(1366, 3), 4077, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(821, 1366, F8, 6, 6) (dual of [(1366, 6), 8175, 7]-NRT-code) | [i] | OA Folding and Stacking | |