Information on Result #699793

Linear OA(12873, 2097179, F128, 23) (dual of [2097179, 2097106, 24]-code), using construction X applied to Ce(22) ⊂ Ce(15) based on
  1. linear OA(12867, 2097152, F128, 23) (dual of [2097152, 2097085, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. 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]
  3. linear OA(1286, 27, F128, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,128)), 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
1OA(32103, 2097179, S32, 23) [i]Discarding Parts of the Base for OAs
2OA(6486, 2097179, S64, 23) [i]
3Linear OOA(12873, 1146582, F128, 2, 23) (dual of [(1146582, 2), 2293091, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(12873, 1146582, F128, 3, 23) (dual of [(1146582, 3), 3439673, 24]-NRT-code) [i]
5Linear OOA(12873, 1146582, F128, 4, 23) (dual of [(1146582, 4), 4586255, 24]-NRT-code) [i]
6Digital (50, 73, 1146582)-net over F128 [i]
7Linear OOA(12873, 1048589, F128, 2, 23) (dual of [(1048589, 2), 2097105, 24]-NRT-code) [i]OOA Folding
8Linear OOA(12873, 699059, F128, 3, 23) (dual of [(699059, 3), 2097104, 24]-NRT-code) [i]