Information on Result #678724
Linear OA(4240, 65575, F4, 39) (dual of [65575, 65335, 40]-code), using construction X applied to Ce(38) ⊂ Ce(33) based on
- linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), 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(4241, 65576, F4, 39) (dual of [65576, 65335, 40]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4242, 65577, F4, 39) (dual of [65577, 65335, 40]-code) | [i] | ||
| 3 | Linear OOA(4240, 37795, F4, 2, 39) (dual of [(37795, 2), 75350, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(4240, 37795, F4, 3, 39) (dual of [(37795, 3), 113145, 40]-NRT-code) | [i] | ||
| 5 | Digital (201, 240, 37795)-net over F4 | [i] | ||
| 6 | Linear OOA(4240, 32787, F4, 2, 39) (dual of [(32787, 2), 65334, 40]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4240, 21858, F4, 3, 39) (dual of [(21858, 3), 65334, 40]-NRT-code) | [i] | ||
| 8 | Linear OOA(4240, 3451, F4, 39, 39) (dual of [(3451, 39), 134349, 40]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |