Information on Result #723919

Linear OA(2549, 628, F25, 25) (dual of [628, 579, 26]-code), using construction XX applied to C1 = C([623,22]), C2 = C([0,23]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([623,23]) based on
  1. linear OA(2547, 624, F25, 24) (dual of [624, 577, 25]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,22}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(2547, 624, F25, 24) (dual of [624, 577, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(2549, 624, F25, 25) (dual of [624, 575, 26]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,23}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(2545, 624, F25, 23) (dual of [624, 579, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)

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(598, 1256, F5, 25) (dual of [1256, 1158, 26]-code) [i]Trace Code
2Linear OA(2565, 694, F25, 25) (dual of [694, 629, 26]-code) [i](u, u+v)-Construction
3Linear OA(2566, 696, F25, 25) (dual of [696, 630, 26]-code) [i]
4Linear OA(2567, 698, F25, 25) (dual of [698, 631, 26]-code) [i]
5Linear OOA(2549, 314, F25, 2, 25) (dual of [(314, 2), 579, 26]-NRT-code) [i]OOA Folding