Information on Result #677248

Linear OA(3104, 256, F3, 34) (dual of [256, 152, 35]-code), using construction X applied to Ce(33) ⊂ Ce(30) based on
  1. linear OA(3101, 243, F3, 34) (dual of [243, 142, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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(3104, 256, F3, 33) (dual of [256, 152, 34]-code) [i]Strength Reduction
2Linear OA(3105, 257, F3, 34) (dual of [257, 152, 35]-code) [i]Code Embedding in Larger Space
3Linear OA(3106, 258, F3, 34) (dual of [258, 152, 35]-code) [i]
4Linear OA(3107, 259, F3, 34) (dual of [259, 152, 35]-code) [i]
5Linear OA(3108, 260, F3, 34) (dual of [260, 152, 35]-code) [i]
6Linear OA(3103, 255, F3, 33) (dual of [255, 152, 34]-code) [i]Truncation
7Linear OA(3108, 265, F3, 34) (dual of [265, 157, 35]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(3109, 270, F3, 34) (dual of [270, 161, 35]-code) [i]
9Linear OA(3110, 276, F3, 34) (dual of [276, 166, 35]-code) [i]
10Linear OA(3106, 259, F3, 34) (dual of [259, 153, 35]-code) [i]Construction X with VarÅ¡amov Bound
11Linear OA(3107, 261, F3, 34) (dual of [261, 154, 35]-code) [i]
12Linear OA(3108, 263, F3, 34) (dual of [263, 155, 35]-code) [i]
13Linear OOA(3104, 128, F3, 2, 34) (dual of [(128, 2), 152, 35]-NRT-code) [i]OOA Folding
14Linear OOA(3104, 85, F3, 3, 34) (dual of [(85, 3), 151, 35]-NRT-code) [i]