Information on Result #678718
Linear OA(476, 65557, F4, 12) (dual of [65557, 65481, 13]-code), using construction X applied to Ce(12) ⊂ Ce(8) 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(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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(476, 49458, F4, 2, 12) (dual of [(49458, 2), 98840, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(476, 49458, F4, 3, 12) (dual of [(49458, 3), 148298, 13]-NRT-code) | [i] | ||
| 3 | Digital (64, 76, 49458)-net over F4 | [i] | ||
| 4 | Linear OOA(476, 21852, F4, 3, 12) (dual of [(21852, 3), 65480, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(476, 10926, F4, 12, 12) (dual of [(10926, 12), 131036, 13]-NRT-code) | [i] | OA Folding and Stacking | |