Information on Result #708359

Linear OA(4154, 1079, F4, 37) (dual of [1079, 925, 38]-code), using construction XX applied to C1 = C([317,349]), C2 = C([313,342]), C3 = C1 + C2 = C([317,342]), and C∩ = C1 ∩ C2 = C([313,349]) based on
  1. linear OA(4121, 1023, F4, 33) (dual of [1023, 902, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {317,318,…,349}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. 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 = {313,314,…,342}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(4136, 1023, F4, 37) (dual of [1023, 887, 38]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {313,314,…,349}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(496, 1023, F4, 26) (dual of [1023, 927, 27]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {317,318,…,342}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  5. linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
  6. linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), 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(4155, 1080, F4, 37) (dual of [1080, 925, 38]-code) [i]Code Embedding in Larger Space
2Linear OOA(4154, 539, F4, 2, 37) (dual of [(539, 2), 924, 38]-NRT-code) [i]OOA Folding