Information on Result #708025

Linear OA(491, 1033, F4, 24) (dual of [1033, 942, 25]-code), using construction XX applied to C1 = C([1022,21]), C2 = C([0,22]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([1022,22]) based on
  1. linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,21}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
  3. linear OA(491, 1023, F4, 24) (dual of [1023, 932, 25]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,22}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  4. linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
  5. linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
  6. linear OA(40, 5, F4, 0) (dual of [5, 5, 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(494, 1045, F4, 24) (dual of [1045, 951, 25]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(495, 1059, F4, 24) (dual of [1059, 964, 25]-code) [i]
3Linear OA(496, 1084, F4, 24) (dual of [1084, 988, 25]-code) [i]
4Linear OA(497, 1123, F4, 24) (dual of [1123, 1026, 25]-code) [i]
5Linear OA(498, 1177, F4, 24) (dual of [1177, 1079, 25]-code) [i]
6Linear OOA(491, 516, F4, 2, 24) (dual of [(516, 2), 941, 25]-NRT-code) [i]OOA Folding
7Linear OOA(491, 344, F4, 3, 24) (dual of [(344, 3), 941, 25]-NRT-code) [i]