Information on Result #2239526
Linear OA(477, 65564, F4, 12) (dual of [65564, 65487, 13]-code), using 1 times truncation based on linear OA(478, 65565, F4, 13) (dual of [65565, 65487, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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(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 OOA(477, 56814, F4, 2, 12) (dual of [(56814, 2), 113551, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(477, 56814, F4, 3, 12) (dual of [(56814, 3), 170365, 13]-NRT-code) | [i] | ||
| 3 | Digital (65, 77, 56814)-net over F4 | [i] | ||
| 4 | Linear OOA(477, 32782, F4, 2, 12) (dual of [(32782, 2), 65487, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(477, 21854, F4, 3, 12) (dual of [(21854, 3), 65485, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(477, 10927, F4, 12, 12) (dual of [(10927, 12), 131047, 13]-NRT-code) | [i] | OA Folding and Stacking | |