Information on Result #1324078
Linear OA(4210, 262221, F4, 29) (dual of [262221, 262011, 30]-code), using construction X with Varšamov bound based on
- linear OA(4205, 262213, F4, 29) (dual of [262213, 262008, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(415, 69, F4, 7) (dual of [69, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4205, 262216, F4, 26) (dual of [262216, 262011, 27]-code), using Gilbert–Varšamov bound and bm = 4205 > Vbs−1(k−1) = 159 713231 855758 163565 233629 701741 774200 759403 545460 738749 346932 635233 039831 433009 242103 982371 927502 781295 692737 788588 433488 [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(4210, 131110, F4, 2, 29) (dual of [(131110, 2), 262010, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4210, 87407, F4, 3, 29) (dual of [(87407, 3), 262011, 30]-NRT-code) | [i] | ||