Information on Result #686360
Linear OA(8110, 2097212, F8, 16) (dual of [2097212, 2097102, 17]-code), using construction X applied to Ce(16) ⊂ Ce(8) 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(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(811, 60, F8, 6) (dual of [60, 49, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-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(8110, 1048606, F8, 2, 16) (dual of [(1048606, 2), 2097102, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8110, 699070, F8, 3, 16) (dual of [(699070, 3), 2097100, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(8110, 262151, F8, 16, 16) (dual of [(262151, 16), 4194306, 17]-NRT-code) | [i] | OA Folding and Stacking | |