Information on Result #688978
Linear OA(9148, 4782976, F9, 24) (dual of [4782976, 4782828, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(9148, 4782969, F9, 24) (dual of [4782969, 4782821, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(9141, 4782969, F9, 23) (dual of [4782969, 4782828, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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 OOA(9148, 2391488, F9, 2, 24) (dual of [(2391488, 2), 4782828, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9148, 1594325, F9, 3, 24) (dual of [(1594325, 3), 4782827, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(9148, 398581, F9, 24, 24) (dual of [(398581, 24), 9565796, 25]-NRT-code) | [i] | OA Folding and Stacking | |