Information on Result #686256
Linear OA(8163, 2097167, F8, 27) (dual of [2097167, 2097004, 28]-code), using construction X applied to Ce(26) ⊂ Ce(24) based on
- linear OA(8162, 2097152, F8, 27) (dual of [2097152, 2096990, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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 OA(8164, 2097168, F8, 27) (dual of [2097168, 2097004, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8163, 1048583, F8, 2, 27) (dual of [(1048583, 2), 2097003, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8163, 699055, F8, 3, 27) (dual of [(699055, 3), 2097002, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(8163, 161320, F8, 27, 27) (dual of [(161320, 27), 4355477, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |