Information on Result #684847
Linear OA(7108, 16854, F7, 23) (dual of [16854, 16746, 24]-code), using construction X applied to Ce(22) ⊂ Ce(14) based on
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(712, 47, F7, 7) (dual of [47, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using
- the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-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 OA(7109, 16855, F7, 23) (dual of [16855, 16746, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(7108, 8427, F7, 2, 23) (dual of [(8427, 2), 16746, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7108, 5618, F7, 3, 23) (dual of [(5618, 3), 16746, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(7108, 1532, F7, 23, 23) (dual of [(1532, 23), 35128, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |