Information on Result #687341
Linear OA(864, 4123, F8, 17) (dual of [4123, 4059, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
- linear OA(857, 4096, F8, 17) (dual of [4096, 4039, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(87, 27, F8, 5) (dual of [27, 20, 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 OOA(864, 2061, F8, 2, 17) (dual of [(2061, 2), 4058, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(864, 1374, F8, 3, 17) (dual of [(1374, 3), 4058, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(864, 515, F8, 17, 17) (dual of [(515, 17), 8691, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |