Information on Result #679346

Linear OA(4123, 16402, F4, 23) (dual of [16402, 16279, 24]-code), using construction XX applied to Ce(22) ⊂ Ce(20) ⊂ Ce(18) based on
  1. linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(499, 16384, F4, 19) (dual of [16384, 16285, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  4. linear OA(41, 16, F4, 1) (dual of [16, 15, 2]-code), using
  5. linear OA(41, 2, F4, 1) (dual of [2, 1, 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(4123, 9084, F4, 2, 23) (dual of [(9084, 2), 18045, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4123, 9084, F4, 3, 23) (dual of [(9084, 3), 27129, 24]-NRT-code) [i]
3Digital (100, 123, 9084)-net over F4 [i]
4Linear OOA(4123, 8201, F4, 2, 23) (dual of [(8201, 2), 16279, 24]-NRT-code) [i]OOA Folding
5Linear OOA(4123, 5467, F4, 3, 23) (dual of [(5467, 3), 16278, 24]-NRT-code) [i]
6Linear OOA(4123, 1491, F4, 23, 23) (dual of [(1491, 23), 34170, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row