Information on Result #1610517
Linear OOA(3222, 2796209, F3, 4, 21) (dual of [(2796209, 4), 11184614, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3222, 2796209, F3, 3, 21) (dual of [(2796209, 3), 8388405, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(312, 8, F3, 3, 10) (dual of [(8, 3), 12, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, 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(312, 8, F3, 3, 10) (dual of [(8, 3), 12, 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
None.