Information on Result #687483

Linear OA(8103, 4107, F8, 29) (dual of [4107, 4004, 30]-code), using construction XX applied to Ce(28) ⊂ Ce(26) ⊂ Ce(25) based on
  1. linear OA(8101, 4096, F8, 29) (dual of [4096, 3995, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(893, 4096, F8, 27) (dual of [4096, 4003, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(81, 10, F8, 1) (dual of [10, 9, 2]-code), using
  5. linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-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(8103, 4011, F8, 2, 29) (dual of [(4011, 2), 7919, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8103, 4011, F8, 3, 29) (dual of [(4011, 3), 11930, 30]-NRT-code) [i]
3Digital (74, 103, 4011)-net over F8 [i]
4Linear OOA(8103, 2053, F8, 2, 29) (dual of [(2053, 2), 4003, 30]-NRT-code) [i]OOA Folding
5Linear OOA(8103, 1369, F8, 3, 29) (dual of [(1369, 3), 4004, 30]-NRT-code) [i]