Information on Result #708035

Linear OA(4131, 1086, F4, 30) (dual of [1086, 955, 31]-code), using construction XX applied to C1 = C([325,349]), C2 = C([320,342]), C3 = C1 + C2 = C([325,342]), and C∩ = C1 ∩ C2 = C([320,349]) based on
  1. linear OA(491, 1023, F4, 25) (dual of [1023, 932, 26]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {325,326,…,349}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {320,321,…,342}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  3. linear OA(4111, 1023, F4, 30) (dual of [1023, 912, 31]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {320,321,…,349}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  4. linear OA(466, 1023, F4, 18) (dual of [1023, 957, 19]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {325,326,…,342}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  5. linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
  6. linear OA(47, 27, F4, 4) (dual of [27, 20, 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(4132, 1087, F4, 30) (dual of [1087, 955, 31]-code) [i]Code Embedding in Larger Space
2Linear OOA(4131, 543, F4, 2, 30) (dual of [(543, 2), 955, 31]-NRT-code) [i]OOA Folding