Information on Result #604673

Linear OA(436, 37, F4, 36) (dual of [37, 1, 37]-code or 37-arc in PG(35,4)), using dual of repetition code with length 37

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(436, 37, F4, 35) (dual of [37, 1, 36]-code) [i]Strength Reduction
2Linear OA(436, 37, F4, 34) (dual of [37, 1, 35]-code) [i]
3Linear OA(436, 37, F4, 33) (dual of [37, 1, 34]-code) [i]
4Linear OA(436, 37, F4, 32) (dual of [37, 1, 33]-code) [i]
5Linear OA(436, 37, F4, 31) (dual of [37, 1, 32]-code) [i]
6Linear OA(436, 37, F4, 30) (dual of [37, 1, 31]-code) [i]
7Linear OA(468, 87, F4, 36) (dual of [87, 19, 37]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(477, 116, F4, 36) (dual of [116, 39, 37]-code) [i]
9Linear OA(478, 120, F4, 36) (dual of [120, 42, 37]-code) [i]
10Linear OA(497, 234, F4, 36) (dual of [234, 137, 37]-code) [i]
11Linear OA(4103, 292, F4, 36) (dual of [292, 189, 37]-code) [i]
12Linear OA(4104, 303, F4, 36) (dual of [303, 199, 37]-code) [i]
13Linear OA(4107, 339, F4, 36) (dual of [339, 232, 37]-code) [i]
14Linear OA(4108, 352, F4, 36) (dual of [352, 244, 37]-code) [i]
15Linear OA(4121, 577, F4, 36) (dual of [577, 456, 37]-code) [i]
16Linear OA(4125, 673, F4, 36) (dual of [673, 548, 37]-code) [i]
17Linear OA(4127, 727, F4, 36) (dual of [727, 600, 37]-code) [i]
18Linear OA(4146, 1523, F4, 36) (dual of [1523, 1377, 37]-code) [i]
19Linear OA(4148, 1647, F4, 36) (dual of [1647, 1499, 37]-code) [i]
20Linear OA(4149, 1713, F4, 36) (dual of [1713, 1564, 37]-code) [i]
21Linear OA(4175, 4765, F4, 36) (dual of [4765, 4590, 37]-code) [i]
22Linear OA(4176, 4957, F4, 36) (dual of [4957, 4781, 37]-code) [i]
23Linear OA(4229, 294, F4, 75) (dual of [294, 65, 76]-code) [i]Construction X with Cyclic Codes