Information on Result #688997
Linear OA(943, 4782976, F9, 7) (dual of [4782976, 4782933, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(943, 4782969, F9, 7) (dual of [4782969, 4782926, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(947, 4783058, F9, 7) (dual of [4783058, 4783011, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(948, 4783188, F9, 7) (dual of [4783188, 4783140, 8]-code) | [i] | ||
| 3 | Linear OOA(943, 4782976, F9, 2, 7) (dual of [(4782976, 2), 9565909, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(943, 4782976, F9, 3, 7) (dual of [(4782976, 3), 14348885, 8]-NRT-code) | [i] | ||
| 5 | Digital (36, 43, 4782976)-net over F9 | [i] | ||
| 6 | Linear OOA(943, 2391488, F9, 2, 7) (dual of [(2391488, 2), 4782933, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(943, 1594325, F9, 3, 7) (dual of [(1594325, 3), 4782932, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(943, 1594325, F9, 7, 7) (dual of [(1594325, 7), 11160232, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |