Information on Result #686264
Linear OA(8102, 2097169, F8, 17) (dual of [2097169, 2097067, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(83, 17, F8, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-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 OOA(8102, 1048584, F8, 2, 17) (dual of [(1048584, 2), 2097066, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8102, 699056, F8, 3, 17) (dual of [(699056, 3), 2097066, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(8102, 262146, F8, 17, 17) (dual of [(262146, 17), 4456380, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |