Information on Result #1083181

Linear OOA(12854, 524417, F128, 4, 16) (dual of [(524417, 4), 2097614, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1288, 129, F128, 4, 8) (dual of [(129, 4), 508, 9]-NRT-code), using
  2. 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]

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:

ResultThis
result
only
Method
1Linear OOA(12854, 262208, F128, 20, 16) (dual of [(262208, 20), 5244106, 17]-NRT-code) [i]OOA Folding and Stacking with Additional Row