Information on Result #709339

Linear OA(4233, 1080, F4, 58) (dual of [1080, 847, 59]-code), using construction XX applied to C1 = C([297,349]), C2 = C([292,343]), C3 = C1 + C2 = C([297,343]), and C∩ = C1 ∩ C2 = C([292,349]) 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 = {297,298,…,349}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  2. linear OA(4196, 1023, F4, 52) (dual of [1023, 827, 53]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,343}, and designed minimum distance d ≥ |I|+1 = 53 [i]
  3. linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,349}, and designed minimum distance d ≥ |I|+1 = 59 [i]
  4. linear OA(4176, 1023, F4, 47) (dual of [1023, 847, 48]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,343}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  5. linear OA(410, 30, F4, 5) (dual of [30, 20, 6]-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(4234, 1081, F4, 58) (dual of [1081, 847, 59]-code) [i]Code Embedding in Larger Space
2Linear OOA(4233, 540, F4, 2, 58) (dual of [(540, 2), 847, 59]-NRT-code) [i]OOA Folding