Information on Result #710281

Linear OA(5102, 156, F5, 47) (dual of [156, 54, 48]-code), using construction XX applied to C1 = C([119,36]), C2 = C([1,41]), C3 = C1 + C2 = C([1,36]), and C∩ = C1 ∩ C2 = C([119,41]) based on
  1. linear OA(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(579, 124, F5, 41) (dual of [124, 45, 42]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,41}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  5. linear OA(57, 17, F5, 5) (dual of [17, 10, 6]-code), using
  6. linear OA(56, 15, F5, 4) (dual of [15, 9, 5]-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(5102, 156, F5, 46) (dual of [156, 54, 47]-code) [i]Strength Reduction
2Linear OA(5103, 157, F5, 47) (dual of [157, 54, 48]-code) [i]Code Embedding in Larger Space
3Linear OA(5104, 158, F5, 47) (dual of [158, 54, 48]-code) [i]
4Linear OA(5101, 155, F5, 46) (dual of [155, 54, 47]-code) [i]Truncation
5Linear OOA(5102, 78, F5, 2, 47) (dual of [(78, 2), 54, 48]-NRT-code) [i]OOA Folding