Information on Result #687276
Linear OA(852, 4111, F8, 14) (dual of [4111, 4059, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
- linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(837, 4096, F8, 11) (dual of [4096, 4059, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(83, 15, F8, 2) (dual of [15, 12, 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(852, 2055, F8, 2, 14) (dual of [(2055, 2), 4058, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(852, 1370, F8, 3, 14) (dual of [(1370, 3), 4058, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(852, 587, F8, 14, 14) (dual of [(587, 14), 8166, 15]-NRT-code) | [i] | OA Folding and Stacking | |