Information on Result #686296
Linear OA(8103, 2097177, F8, 17) (dual of [2097177, 2097074, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) 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(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(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,8)), 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(8102, 2097176, F8, 16) (dual of [2097176, 2097074, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(8103, 1048588, F8, 2, 17) (dual of [(1048588, 2), 2097073, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8103, 699059, F8, 3, 17) (dual of [(699059, 3), 2097074, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(8103, 262147, F8, 17, 17) (dual of [(262147, 17), 4456396, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |