Information on Result #709266

Linear OA(4204, 1041, F4, 54) (dual of [1041, 837, 55]-code), using construction XX applied to C1 = C([289,341]), C2 = C([292,342]), C3 = C1 + C2 = C([292,341]), and C∩ = C1 ∩ C2 = C([289,342]) based on
  1. linear OA(4196, 1023, F4, 53) (dual of [1023, 827, 54]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,341}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  2. linear OA(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,342}, and designed minimum distance d ≥ |I|+1 = 52 [i]
  3. linear OA(4201, 1023, F4, 54) (dual of [1023, 822, 55]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,342}, and designed minimum distance d ≥ |I|+1 = 55 [i]
  4. linear OA(4186, 1023, F4, 50) (dual of [1023, 837, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,341}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  5. linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
  6. linear OA(40, 5, F4, 0) (dual of [5, 5, 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(4204, 520, F4, 2, 54) (dual of [(520, 2), 836, 55]-NRT-code) [i]OOA Folding
2Linear OOA(4204, 347, F4, 3, 54) (dual of [(347, 3), 837, 55]-NRT-code) [i]