Information on Result #674744

Linear OA(3185, 177188, F3, 25) (dual of [177188, 177003, 26]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
  1. linear OA(3177, 177147, F3, 25) (dual of [177147, 176970, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
    • the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]

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(3186, 177189, F3, 25) (dual of [177189, 177003, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(3187, 177190, F3, 25) (dual of [177190, 177003, 26]-code) [i]
3Linear OA(3184, 177187, F3, 24) (dual of [177187, 177003, 25]-code) [i]Truncation
4Linear OOA(3185, 88594, F3, 2, 25) (dual of [(88594, 2), 177003, 26]-NRT-code) [i]OOA Folding
5Linear OOA(3185, 59062, F3, 3, 25) (dual of [(59062, 3), 177001, 26]-NRT-code) [i]
6Linear OOA(3185, 44297, F3, 4, 25) (dual of [(44297, 4), 177003, 26]-NRT-code) [i]
7Linear OOA(3185, 35437, F3, 5, 25) (dual of [(35437, 5), 177000, 26]-NRT-code) [i]
8Linear OOA(3185, 14765, F3, 25, 25) (dual of [(14765, 25), 368940, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row