Information on Result #678721
Linear OA(454, 65565, F4, 9) (dual of [65565, 65511, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) based on
- linear OA(449, 65536, F4, 9) (dual of [65536, 65487, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(425, 65536, F4, 5) (dual of [65536, 65511, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(45, 29, F4, 3) (dual of [29, 24, 4]-code or 29-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(453, 65564, F4, 8) (dual of [65564, 65511, 9]-code) | [i] | Truncation | |
| 2 | Linear OOA(454, 32782, F4, 2, 9) (dual of [(32782, 2), 65510, 10]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(454, 21855, F4, 3, 9) (dual of [(21855, 3), 65511, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(454, 16391, F4, 9, 9) (dual of [(16391, 9), 147465, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |