Information on Result #1300382
Linear OA(4165, 65583, F4, 26) (dual of [65583, 65418, 27]-code), using construction X with Varšamov bound based on
- linear OA(4160, 65575, F4, 26) (dual of [65575, 65415, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] 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
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- linear OA(4160, 65578, F4, 23) (dual of [65578, 65418, 24]-code), using Gilbert–Varšamov bound and bm = 4160 > Vbs−1(k−1) = 258793 627630 437310 815768 057310 733845 043600 904786 394292 021312 359859 083036 169142 254751 268823 379856 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
Mode: 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(4165, 32791, F4, 2, 26) (dual of [(32791, 2), 65417, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4165, 21861, F4, 3, 26) (dual of [(21861, 3), 65418, 27]-NRT-code) | [i] | ||