Information on Result #684971
Linear OA(780, 2412, F7, 23) (dual of [2412, 2332, 24]-code), using construction X applied to Ce(22) ⊂ Ce(19) based on
- linear OA(777, 2401, F7, 23) (dual of [2401, 2324, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(769, 2401, F7, 20) (dual of [2401, 2332, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(780, 2173, F7, 2, 23) (dual of [(2173, 2), 4266, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(780, 2173, F7, 3, 23) (dual of [(2173, 3), 6439, 24]-NRT-code) | [i] | ||
| 3 | Digital (57, 80, 2173)-net over F7 | [i] | ||
| 4 | Linear OOA(780, 1206, F7, 2, 23) (dual of [(1206, 2), 2332, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(780, 804, F7, 3, 23) (dual of [(804, 3), 2332, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(780, 219, F7, 23, 23) (dual of [(219, 23), 4957, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |