Information on Result #731376
Linear OA(966, 13126, F9, 17) (dual of [13126, 13060, 18]-code), using trace code based on linear OA(8133, 6563, F81, 17) (dual of [6563, 6530, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(8133, 6561, F81, 17) (dual of [6561, 6528, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 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(967, 13127, F9, 17) (dual of [13127, 13060, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(966, 6563, F9, 2, 17) (dual of [(6563, 2), 13060, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(966, 4375, F9, 3, 17) (dual of [(4375, 3), 13059, 18]-NRT-code) | [i] | ||