Information on Result #610160
Linear OA(28, 12, F2, 5) (dual of [12, 4, 6]-code), using a code of Belov type defined by PG(3,2) ∖ PG(1,2)
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(27, 11, F2, 4) (dual of [11, 4, 5]-code) | [i] | Truncation | |
| 2 | Linear OA(2184, 204, F2, 77) (dual of [204, 20, 78]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(2204, 216, F2, 95) (dual of [216, 12, 96]-code) | [i] | ||
| 4 | Linear OA(2137, 269, F2, 35) (dual of [269, 132, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(2192, 267, F2, 60) (dual of [267, 75, 61]-code) | [i] | ||
| 6 | Linear OA(2142, 277, F2, 38) (dual of [277, 135, 39]-code) | [i] | Construction XX with Cyclic Codes | |
| 7 | Linear OA(2142, 276, F2, 39) (dual of [276, 134, 40]-code) | [i] | ||
| 8 | Linear OA(2255, 268, F2, 125) (dual of [268, 13, 126]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 9 | Linear OA(2251, 268, F2, 117) (dual of [268, 17, 118]-code) | [i] | ||
| 10 | Linear OA(2243, 268, F2, 101) (dual of [268, 25, 102]-code) | [i] | ||
| 11 | Linear OA(2133, 268, F2, 37) (dual of [268, 135, 38]-code) | [i] | ||
| 12 | Linear OA(2128, 140, F2, 61) (dual of [140, 12, 62]-code) | [i] | ||
| 13 | Linear OA(2107, 140, F2, 37) (dual of [140, 33, 38]-code) | [i] | ||
| 14 | Linear OA(2164, 299, F2, 43) (dual of [299, 135, 44]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 15 | Linear OA(2159, 294, F2, 41) (dual of [294, 135, 42]-code) | [i] | ||
| 16 | Linear OA(2144, 163, F2, 61) (dual of [163, 19, 62]-code) | [i] | ||
| 17 | Linear OA(268, 75, F2, 33) (dual of [75, 7, 34]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 18 | Linear OA(256, 75, F2, 21) (dual of [75, 19, 22]-code) | [i] | ||
| 19 | Linear OA(2128, 139, F2, 61) (dual of [139, 11, 62]-code) | [i] | ||
| 20 | Linear OA(2121, 139, F2, 53) (dual of [139, 18, 54]-code) | [i] | ||
| 21 | Linear OA(2120, 139, F2, 52) (dual of [139, 19, 53]-code) | [i] | ||
| 22 | Linear OA(2251, 267, F2, 117) (dual of [267, 16, 118]-code) | [i] | ||
| 23 | Linear OA(2243, 267, F2, 101) (dual of [267, 24, 102]-code) | [i] | ||
| 24 | Linear OA(2144, 162, F2, 61) (dual of [162, 18, 62]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 25 | Linear OA(2144, 163, F2, 60) (dual of [163, 19, 61]-code) | [i] | ||
| 26 | Linear OOA(28, 6, F2, 2, 5) (dual of [(6, 2), 4, 6]-NRT-code) | [i] | OOA Folding | |