Information on Result #684650
Linear OA(746, 117664, F7, 9) (dual of [117664, 117618, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
- linear OA(743, 117649, F7, 9) (dual of [117649, 117606, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(731, 117649, F7, 6) (dual of [117649, 117618, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(73, 15, F7, 2) (dual of [15, 12, 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(746, 117664, F7, 2, 9) (dual of [(117664, 2), 235282, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(746, 117664, F7, 3, 9) (dual of [(117664, 3), 352946, 10]-NRT-code) | [i] | ||
| 3 | Digital (37, 46, 117664)-net over F7 | [i] | ||
| 4 | Linear OOA(746, 58832, F7, 2, 9) (dual of [(58832, 2), 117618, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(746, 39221, F7, 3, 9) (dual of [(39221, 3), 117617, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(746, 29415, F7, 9, 9) (dual of [(29415, 9), 264689, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |