Information on Result #1014940

Linear OOA(8165, 699081, F8, 3, 24) (dual of [(699081, 3), 2097078, 25]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(817, 28, F8, 3, 12) (dual of [(28, 3), 67, 13]-NRT-code), using
  2. linear OOA(8148, 699053, F8, 3, 24) (dual of [(699053, 3), 2097011, 25]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8148, 2097159, F8, 24) (dual of [2097159, 2097011, 25]-code), using
      • 1 times truncation [i] based on linear OA(8149, 2097160, F8, 25) (dual of [2097160, 2097011, 26]-code), using
        • construction X applied to Ce(24) ⊂ Ce(22) [i] based on
          1. linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
          2. linear OA(8141, 2097152, F8, 23) (dual of [2097152, 2097011, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
          3. linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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:

ResultThis
result
only
Method
1Linear OOA(8165, 174770, F8, 27, 24) (dual of [(174770, 27), 4718625, 25]-NRT-code) [i]OOA Folding and Stacking with Additional Row