Information on Result #689526
Linear OA(9139, 59117, F9, 28) (dual of [59117, 58978, 29]-code), using construction X applied to Ce(27) ⊂ Ce(15) based on
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(918, 68, F9, 11) (dual of [68, 50, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(918, 80, F9, 11) (dual of [80, 62, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(918, 80, F9, 11) (dual of [80, 62, 12]-code), 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(9140, 59118, F9, 28) (dual of [59118, 58978, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9138, 59116, F9, 27) (dual of [59116, 58978, 28]-code) | [i] | Truncation | |
| 3 | Linear OOA(9139, 29558, F9, 2, 28) (dual of [(29558, 2), 58977, 29]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(9139, 19705, F9, 3, 28) (dual of [(19705, 3), 58976, 29]-NRT-code) | [i] | ||