Information on Result #731921
Linear OA(9132, 59144, F9, 25) (dual of [59144, 59012, 26]-code), using (u, u+v)-construction based on
- linear OA(920, 83, F9, 12) (dual of [83, 63, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(920, 81, F9, 12) (dual of [81, 61, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(918, 81, F9, 11) (dual of [81, 63, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 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
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(9112, 59061, F9, 25) (dual of [59061, 58949, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(9111, 59050, F9, 25) (dual of [59050, 58939, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 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
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
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(9132, 29572, F9, 2, 25) (dual of [(29572, 2), 59012, 26]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9132, 19714, F9, 3, 25) (dual of [(19714, 3), 59010, 26]-NRT-code) | [i] | ||