Information on Result #1563163
Linear OOA(9145, 57270, F9, 3, 32) (dual of [(57270, 3), 171665, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9145, 57270, F9, 32) (dual of [57270, 57125, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(9145, 59073, F9, 32) (dual of [59073, 58928, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- linear OA(9141, 59049, F9, 32) (dual of [59049, 58908, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- 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(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
Mode: 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(9145, 9544, F9, 39, 32) (dual of [(9544, 39), 372071, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |