Information on Result #1650122
Linear OOA(3223, 2796211, F3, 5, 21) (dual of [(2796211, 5), 13980832, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3223, 2796211, F3, 3, 21) (dual of [(2796211, 3), 8388410, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(313, 10, F3, 3, 10) (dual of [(10, 3), 17, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [i] based on function field F/F3 with g(F) = 3 and N(F) ≥ 10, using
- linear OOA(3210, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388393, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- OOA 3-folding [i] based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- linear OOA(313, 10, F3, 3, 10) (dual of [(10, 3), 17, 11]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3223, 1398105, F3, 25, 21) (dual of [(1398105, 25), 34952402, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |