Information on Result #686265
Linear OA(893, 2097167, F8, 15) (dual of [2097167, 2097074, 16]-code), using construction X applied to Ce(14) ⊂ Ce(12) based on
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 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(893, 1992530, F8, 2, 15) (dual of [(1992530, 2), 3984967, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(893, 1992530, F8, 3, 15) (dual of [(1992530, 3), 5977497, 16]-NRT-code) | [i] | ||
| 3 | Digital (78, 93, 1992530)-net over F8 | [i] | ||
| 4 | Linear OOA(893, 299595, F8, 15, 15) (dual of [(299595, 15), 4493832, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |