Information on Result #688591
Linear OA(8114, 536, F8, 41) (dual of [536, 422, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(34) ⊂ Ce(33) based on
- linear OA(8106, 512, F8, 41) (dual of [512, 406, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(891, 512, F8, 35) (dual of [512, 421, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(888, 512, F8, 34) (dual of [512, 424, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(87, 23, F8, 5) (dual of [23, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(8114, 268, F8, 2, 41) (dual of [(268, 2), 422, 42]-NRT-code) | [i] | OOA Folding | |