Information on Result #684962
Linear OA(7104, 2412, F7, 30) (dual of [2412, 2308, 31]-code), using construction X applied to Ce(29) ⊂ Ce(26) based on
- linear OA(7101, 2401, F7, 30) (dual of [2401, 2300, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(793, 2401, F7, 27) (dual of [2401, 2308, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(73, 11, F7, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 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(7104, 2402, F7, 2, 30) (dual of [(2402, 2), 4700, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7104, 2402, F7, 3, 30) (dual of [(2402, 3), 7102, 31]-NRT-code) | [i] | ||
| 3 | Digital (74, 104, 2402)-net over F7 | [i] | ||
| 4 | Linear OOA(7104, 1206, F7, 2, 30) (dual of [(1206, 2), 2308, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7104, 804, F7, 3, 30) (dual of [(804, 3), 2308, 31]-NRT-code) | [i] | ||