Information on Result #684540
Linear OA(795, 823560, F7, 16) (dual of [823560, 823465, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
- linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(73, 17, F7, 2) (dual of [17, 14, 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(795, 475914, F7, 2, 16) (dual of [(475914, 2), 951733, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(795, 475914, F7, 3, 16) (dual of [(475914, 3), 1427647, 17]-NRT-code) | [i] | ||
| 3 | Digital (79, 95, 475914)-net over F7 | [i] | ||
| 4 | Linear OOA(795, 411780, F7, 2, 16) (dual of [(411780, 2), 823465, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(795, 274520, F7, 3, 16) (dual of [(274520, 3), 823465, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(795, 102945, F7, 16, 16) (dual of [(102945, 16), 1647025, 17]-NRT-code) | [i] | OA Folding and Stacking | |