Information on Result #701898

Linear OA(2150, 297, F2, 38) (dual of [297, 147, 39]-code), using construction XX applied to C1 = C([219,254]), C2 = C([227,2]), C3 = C1 + C2 = C([227,254]), and C∩ = C1 ∩ C2 = C([219,2]) based on
  1. linear OA(2124, 255, F2, 36) (dual of [255, 131, 37]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−36,−35,…,−1}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(2117, 255, F2, 31) (dual of [255, 138, 32]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−28,−27,…,2}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  3. linear OA(2133, 255, F2, 39) (dual of [255, 122, 40]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−36,−35,…,2}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(2108, 255, F2, 28) (dual of [255, 147, 29]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−28,−27,…,−1}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  5. linear OA(216, 32, F2, 7) (dual of [32, 16, 8]-code), using
  6. linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-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(2151, 298, F2, 39) (dual of [298, 147, 40]-code) [i]Adding a Parity Check Bit
2Linear OA(2153, 301, F2, 38) (dual of [301, 148, 39]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OOA(2150, 148, F2, 2, 38) (dual of [(148, 2), 146, 39]-NRT-code) [i]OOA Folding
4Linear OOA(2150, 99, F2, 3, 38) (dual of [(99, 3), 147, 39]-NRT-code) [i]