Information on Result #2253690
Linear OA(957, 4782976, F9, 9) (dual of [4782976, 4782919, 10]-code), using 1 times truncation based on linear OA(958, 4782977, F9, 10) (dual of [4782977, 4782919, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(91, 8, F9, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-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 OOA(957, 4782976, F9, 2, 9) (dual of [(4782976, 2), 9565895, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(957, 4782976, F9, 3, 9) (dual of [(4782976, 3), 14348871, 10]-NRT-code) | [i] | ||
| 3 | Digital (48, 57, 4782976)-net over F9 | [i] | ||
| 4 | Linear OOA(957, 2391488, F9, 2, 9) (dual of [(2391488, 2), 4782919, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(957, 1594325, F9, 3, 9) (dual of [(1594325, 3), 4782918, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(957, 1195743, F9, 9, 9) (dual of [(1195743, 9), 10761630, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |