Information on Result #678735
Linear OA(4160, 65575, F4, 26) (dual of [65575, 65415, 27]-code), using construction X applied to Ce(25) ⊂ Ce(20) based on
- linear OA(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4161, 65576, F4, 26) (dual of [65576, 65415, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4162, 65577, F4, 26) (dual of [65577, 65415, 27]-code) | [i] | ||
| 3 | Linear OA(4163, 65578, F4, 26) (dual of [65578, 65415, 27]-code) | [i] | ||
| 4 | Linear OA(4164, 65579, F4, 26) (dual of [65579, 65415, 27]-code) | [i] | ||
| 5 | Linear OA(4165, 65580, F4, 26) (dual of [65580, 65415, 27]-code) | [i] | ||
| 6 | Linear OA(4163, 65579, F4, 26) (dual of [65579, 65416, 27]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(4164, 65581, F4, 26) (dual of [65581, 65417, 27]-code) | [i] | ||
| 8 | Linear OA(4165, 65583, F4, 26) (dual of [65583, 65418, 27]-code) | [i] | ||
| 9 | Linear OOA(4160, 32787, F4, 2, 26) (dual of [(32787, 2), 65414, 27]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4160, 21858, F4, 3, 26) (dual of [(21858, 3), 65414, 27]-NRT-code) | [i] | ||
| 11 | Linear OOA(4160, 5044, F4, 26, 26) (dual of [(5044, 26), 130984, 27]-NRT-code) | [i] | OA Folding and Stacking | |