Information on Result #706377

Linear OA(476, 264, F4, 26) (dual of [264, 188, 27]-code), using construction XX applied to C1 = C([61,85]), C2 = C([63,86]), C3 = C1 + C2 = C([63,85]), and C∩ = C1 ∩ C2 = C([61,86]) based on
  1. linear OA(471, 255, F4, 25) (dual of [255, 184, 26]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {61,62,…,85}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(471, 255, F4, 24) (dual of [255, 184, 25]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {63,64,…,86}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {61,62,…,86}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  4. linear OA(467, 255, F4, 23) (dual of [255, 188, 24]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {63,64,…,85}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(41, 5, F4, 1) (dual of [5, 4, 2]-code), using
  6. linear OA(40, 4, F4, 0) (dual of [4, 4, 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 OA(477, 267, F4, 26) (dual of [267, 190, 27]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(478, 274, F4, 26) (dual of [274, 196, 27]-code) [i]
3Linear OOA(476, 132, F4, 2, 26) (dual of [(132, 2), 188, 27]-NRT-code) [i]OOA Folding
4Linear OOA(476, 88, F4, 3, 26) (dual of [(88, 3), 188, 27]-NRT-code) [i]