Information on Result #1312446
Linear OA(889, 533, F8, 34) (dual of [533, 444, 35]-code), using 17 step Varšamov–Edel lengthening with (ri) = (1, 16 times 0) based on linear OA(888, 515, F8, 34) (dual of [515, 427, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(888, 512, F8, 34) (dual of [512, 424, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(885, 512, F8, 33) (dual of [512, 427, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 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: 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(889, 533, F8, 2, 34) (dual of [(533, 2), 977, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(889, 533, F8, 3, 34) (dual of [(533, 3), 1510, 35]-NRT-code) | [i] | ||
| 3 | Digital (55, 89, 533)-net over F8 | [i] | ||