Information on Result #604668
Linear OA(431, 32, F4, 31) (dual of [32, 1, 32]-code or 32-arc in PG(30,4)), using dual of repetition code with length 32
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(431, 32, F4, 30) (dual of [32, 1, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(431, 32, F4, 29) (dual of [32, 1, 30]-code) | [i] | ||
| 3 | Linear OA(431, 32, F4, 28) (dual of [32, 1, 29]-code) | [i] | ||
| 4 | Linear OA(431, 32, F4, 27) (dual of [32, 1, 28]-code) | [i] | ||
| 5 | Linear OA(431, 32, F4, 26) (dual of [32, 1, 27]-code) | [i] | ||
| 6 | Linear OA(464, 93, F4, 31) (dual of [93, 29, 32]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(475, 144, F4, 31) (dual of [144, 69, 32]-code) | [i] | ||
| 8 | Linear OA(476, 150, F4, 31) (dual of [150, 74, 32]-code) | [i] | ||
| 9 | Linear OA(478, 163, F4, 31) (dual of [163, 85, 32]-code) | [i] | ||
| 10 | Linear OA(479, 170, F4, 31) (dual of [170, 91, 32]-code) | [i] | ||
| 11 | Linear OA(481, 185, F4, 31) (dual of [185, 104, 32]-code) | [i] | ||
| 12 | Linear OA(482, 193, F4, 31) (dual of [193, 111, 32]-code) | [i] | ||
| 13 | Linear OA(486, 229, F4, 31) (dual of [229, 143, 32]-code) | [i] | ||
| 14 | Linear OA(487, 239, F4, 31) (dual of [239, 152, 32]-code) | [i] | ||
| 15 | Linear OA(495, 339, F4, 31) (dual of [339, 244, 32]-code) | [i] | ||
| 16 | Linear OA(4107, 579, F4, 31) (dual of [579, 472, 32]-code) | [i] | ||
| 17 | Linear OA(4113, 759, F4, 31) (dual of [759, 646, 32]-code) | [i] | ||
| 18 | Linear OA(4115, 831, F4, 31) (dual of [831, 716, 32]-code) | [i] | ||
| 19 | Linear OA(4134, 1978, F4, 31) (dual of [1978, 1844, 32]-code) | [i] | ||
| 20 | Linear OA(4135, 2071, F4, 31) (dual of [2071, 1936, 32]-code) | [i] | ||
| 21 | Linear OA(4136, 2168, F4, 31) (dual of [2168, 2032, 32]-code) | [i] | ||
| 22 | Linear OA(4137, 2270, F4, 31) (dual of [2270, 2133, 32]-code) | [i] | ||
| 23 | Linear OA(4155, 5195, F4, 31) (dual of [5195, 5040, 32]-code) | [i] | ||
| 24 | Linear OA(4242, 1048608, F4, 31) (dual of [1048608, 1048366, 32]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 25 | Linear OA(4222, 1048608, F4, 28) (dual of [1048608, 1048386, 29]-code) | [i] | ||
| 26 | Linear OA(4182, 1048608, F4, 23) (dual of [1048608, 1048426, 24]-code) | [i] | ||