Information on Result #678313

Linear OA(4173, 262191, F4, 25) (dual of [262191, 262018, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(4127, 262145, F4, 19) (dual of [262145, 262018, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(410, 46, F4, 5) (dual of [46, 36, 6]-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(4174, 262192, F4, 25) (dual of [262192, 262018, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(4175, 262193, F4, 25) (dual of [262193, 262018, 26]-code) [i]
3Linear OA(4172, 262190, F4, 24) (dual of [262190, 262018, 25]-code) [i]Truncation
4Linear OOA(4173, 131095, F4, 2, 25) (dual of [(131095, 2), 262017, 26]-NRT-code) [i]OOA Folding
5Linear OOA(4173, 87397, F4, 3, 25) (dual of [(87397, 3), 262018, 26]-NRT-code) [i]
6Linear OOA(4173, 21849, F4, 25, 25) (dual of [(21849, 25), 546052, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row