Information on Result #689334
Linear OA(9122, 59055, F9, 28) (dual of [59055, 58933, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) 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(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(91, 6, F9, 1) (dual of [6, 5, 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 OA(9121, 59054, F9, 27) (dual of [59054, 58933, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(9122, 36385, F9, 2, 28) (dual of [(36385, 2), 72648, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9122, 36385, F9, 3, 28) (dual of [(36385, 3), 109033, 29]-NRT-code) | [i] | ||
| 4 | Digital (94, 122, 36385)-net over F9 | [i] | ||
| 5 | Linear OOA(9122, 29527, F9, 2, 28) (dual of [(29527, 2), 58932, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9122, 19685, F9, 3, 28) (dual of [(19685, 3), 58933, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(9122, 4218, F9, 28, 28) (dual of [(4218, 28), 117982, 29]-NRT-code) | [i] | OA Folding and Stacking | |