Information on Result #724336

Linear OA(2558, 628, F25, 31) (dual of [628, 570, 32]-code), using construction XX applied to C1 = C([623,28]), C2 = C([0,29]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([623,29]) based on
  1. linear OA(2556, 624, F25, 30) (dual of [624, 568, 31]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,28}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(2556, 624, F25, 30) (dual of [624, 568, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(2558, 624, F25, 31) (dual of [624, 566, 32]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  4. linear OA(2554, 624, F25, 29) (dual of [624, 570, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [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(5116, 1256, F5, 31) (dual of [1256, 1140, 32]-code) [i]Trace Code
2Linear OA(2576, 680, F25, 31) (dual of [680, 604, 32]-code) [i](u, u+v)-Construction
3Linear OA(2577, 694, F25, 31) (dual of [694, 617, 32]-code) [i]
4Linear OA(2578, 696, F25, 31) (dual of [696, 618, 32]-code) [i]
5Linear OA(2579, 698, F25, 31) (dual of [698, 619, 32]-code) [i]
6Linear OA(2580, 700, F25, 31) (dual of [700, 620, 32]-code) [i]
7Linear OA(2581, 702, F25, 31) (dual of [702, 621, 32]-code) [i]
8Linear OA(2582, 732, F25, 31) (dual of [732, 650, 32]-code) [i]
9Linear OA(2583, 754, F25, 31) (dual of [754, 671, 32]-code) [i]
10Linear OA(2584, 756, F25, 31) (dual of [756, 672, 32]-code) [i]
11Linear OA(2585, 788, F25, 31) (dual of [788, 703, 32]-code) [i]
12Linear OA(2586, 943, F25, 31) (dual of [943, 857, 32]-code) [i]
13Linear OA(2565, 652, F25, 31) (dual of [652, 587, 32]-code) [i]VarÅ¡amov–Edel Lengthening
14Linear OA(2566, 672, F25, 31) (dual of [672, 606, 32]-code) [i]
15Linear OA(2567, 708, F25, 31) (dual of [708, 641, 32]-code) [i]
16Linear OA(2568, 765, F25, 31) (dual of [765, 697, 32]-code) [i]
17Linear OA(2569, 841, F25, 31) (dual of [841, 772, 32]-code) [i]
18Linear OA(2570, 933, F25, 31) (dual of [933, 863, 32]-code) [i]
19Linear OOA(2558, 314, F25, 2, 31) (dual of [(314, 2), 570, 32]-NRT-code) [i]OOA Folding