Information on Result #680479

Linear OA(481, 1029, F4, 22) (dual of [1029, 948, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
  1. linear OA(481, 1024, F4, 22) (dual of [1024, 943, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(476, 1024, F4, 21) (dual of [1024, 948, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-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(487, 1056, F4, 22) (dual of [1056, 969, 23]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(488, 1075, F4, 22) (dual of [1075, 987, 23]-code) [i]
3Linear OA(489, 1105, F4, 22) (dual of [1105, 1016, 23]-code) [i]
4Linear OA(490, 1149, F4, 22) (dual of [1149, 1059, 23]-code) [i]
5Linear OA(491, 1206, F4, 22) (dual of [1206, 1115, 23]-code) [i]
6Linear OA(492, 1276, F4, 22) (dual of [1276, 1184, 23]-code) [i]
7Linear OA(493, 1356, F4, 22) (dual of [1356, 1263, 23]-code) [i]
8Linear OA(494, 1445, F4, 22) (dual of [1445, 1351, 23]-code) [i]
9Linear OA(495, 1542, F4, 22) (dual of [1542, 1447, 23]-code) [i]
10Linear OOA(481, 514, F4, 2, 22) (dual of [(514, 2), 947, 23]-NRT-code) [i]OOA Folding
11Linear OOA(481, 343, F4, 3, 22) (dual of [(343, 3), 948, 23]-NRT-code) [i]