Information on Result #686305
Linear OA(839, 2097176, F8, 6) (dual of [2097176, 2097137, 7]-code), using construction X applied to Ce(5) ⊂ Ce(2) based on
- linear OA(836, 2097152, F8, 6) (dual of [2097152, 2097116, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(815, 2097152, F8, 3) (dual of [2097152, 2097137, 4]-code or 2097152-cap in PG(14,8)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(83, 24, F8, 2) (dual of [24, 21, 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(839, 1048588, F8, 2, 6) (dual of [(1048588, 2), 2097137, 7]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(839, 699058, F8, 3, 6) (dual of [(699058, 3), 2097135, 7]-NRT-code) | [i] | ||