Information on Result #685480
Linear OA(778, 384, F7, 25) (dual of [384, 306, 26]-code), using construction X applied to Ce(24) ⊂ Ce(14) based on
- linear OA(764, 343, F7, 25) (dual of [343, 279, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(737, 343, F7, 15) (dual of [343, 306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(778, 128, F7, 3, 25) (dual of [(128, 3), 306, 26]-NRT-code) | [i] | OOA Folding | |