Information on Result #686348
Linear OA(899, 2097201, F8, 15) (dual of [2097201, 2097102, 16]-code), using construction X applied to Ce(14) ⊂ Ce(8) 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(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(87, 49, F8, 5) (dual of [49, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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(8100, 2097202, F8, 15) (dual of [2097202, 2097102, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8101, 2097203, F8, 15) (dual of [2097203, 2097102, 16]-code) | [i] | ||
| 3 | Linear OA(8102, 2097204, F8, 15) (dual of [2097204, 2097102, 16]-code) | [i] | ||
| 4 | Linear OA(8103, 2097205, F8, 15) (dual of [2097205, 2097102, 16]-code) | [i] | ||
| 5 | Linear OA(8104, 2097206, F8, 15) (dual of [2097206, 2097102, 16]-code) | [i] | ||
| 6 | Linear OOA(899, 1048600, F8, 2, 15) (dual of [(1048600, 2), 2097101, 16]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(899, 699067, F8, 3, 15) (dual of [(699067, 3), 2097102, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(899, 299600, F8, 15, 15) (dual of [(299600, 15), 4493901, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |