Information on Result #685472
Linear OA(799, 384, F7, 33) (dual of [384, 285, 34]-code), using construction X applied to Ce(32) ⊂ Ce(22) based on
- linear OA(785, 343, F7, 33) (dual of [343, 258, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(758, 343, F7, 23) (dual of [343, 285, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(714, 41, F7, 9) (dual of [41, 27, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(714, 48, F7, 9) (dual of [48, 34, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(714, 48, F7, 9) (dual of [48, 34, 10]-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(799, 128, F7, 3, 33) (dual of [(128, 3), 285, 34]-NRT-code) | [i] | OOA Folding | |