Information on Result #2279326
Linear OA(7109, 387, F7, 37) (dual of [387, 278, 38]-code), using 1 times code embedding in larger space based on linear OA(7108, 386, F7, 37) (dual of [386, 278, 38]-code), using
- construction XX applied to C1 = C([34,64]), C2 = C([28,58]), C3 = C1 + C2 = C([34,58]), and C∩ = C1 ∩ C2 = C([28,64]) [i] based on
- linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {34,35,…,64}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {28,29,…,58}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(794, 342, F7, 37) (dual of [342, 248, 38]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {28,29,…,64}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(764, 342, F7, 25) (dual of [342, 278, 26]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {34,35,…,58}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code) (see above)
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(7109, 129, F7, 3, 37) (dual of [(129, 3), 278, 38]-NRT-code) | [i] | OOA Folding | |