Information on Result #1083183
Linear OOA(12857, 524480, F128, 4, 16) (dual of [(524480, 4), 2097863, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12811, 192, F128, 4, 8) (dual of [(192, 4), 757, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,759P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12846, 524288, F128, 4, 16) (dual of [(524288, 4), 2097106, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 4-folding [i] based on linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-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 OOA(12857, 262239, F128, 20, 16) (dual of [(262239, 20), 5244723, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |