Information on Result #604140
Linear OA(215, 16, F2, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,2)), using dual of repetition code with length 16
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(215, 16, F2, 14) (dual of [16, 1, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(215, 16, F2, 13) (dual of [16, 1, 14]-code) | [i] | ||
| 3 | Linear OA(215, 16, F2, 12) (dual of [16, 1, 13]-code) | [i] | ||
| 4 | Linear OA(215, 16, F2, 11) (dual of [16, 1, 12]-code) | [i] | ||
| 5 | Linear OA(293, 8207, F2, 14) (dual of [8207, 8114, 15]-code) | [i] | Construction X4 with Cyclic Codes | |
| 6 | Linear OA(2250, 272, F2, 111) (dual of [272, 22, 112]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(2260, 282, F2, 113) (dual of [282, 22, 114]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(2100, 16400, F2, 15) (dual of [16400, 16300, 16]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 9 | Linear OA(286, 16400, F2, 13) (dual of [16400, 16314, 14]-code) | [i] | ||
| 10 | Linear OA(272, 16400, F2, 11) (dual of [16400, 16328, 12]-code) | [i] | ||
| 11 | Linear OA(258, 16400, F2, 9) (dual of [16400, 16342, 10]-code) | [i] | ||
| 12 | Linear OA(244, 16400, F2, 7) (dual of [16400, 16356, 8]-code) | [i] | ||
| 13 | Linear OA(230, 16400, F2, 5) (dual of [16400, 16370, 6]-code) | [i] | ||
| 14 | Linear OA(2120, 143, F2, 46) (dual of [143, 23, 47]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 15 | Linear OA(2173, 195, F2, 62) (dual of [195, 22, 63]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 16 | Linear OA(2168, 190, F2, 61) (dual of [190, 22, 62]-code) | [i] | ||
| 17 | Linear OA(2160, 182, F2, 59) (dual of [182, 22, 60]-code) | [i] | ||
| 18 | Linear OA(2157, 179, F2, 57) (dual of [179, 22, 58]-code) | [i] | ||
| 19 | Linear OA(2152, 174, F2, 55) (dual of [174, 22, 56]-code) | [i] | ||
| 20 | Linear OA(2147, 169, F2, 53) (dual of [169, 22, 54]-code) | [i] | ||
| 21 | Linear OA(2142, 164, F2, 51) (dual of [164, 22, 52]-code) | [i] | ||
| 22 | Linear OA(2137, 159, F2, 49) (dual of [159, 22, 50]-code) | [i] | ||
| 23 | Linear OA(2141, 163, F2, 55) (dual of [163, 22, 56]-code) | [i] | ||
| 24 | Linear OA(2138, 160, F2, 53) (dual of [160, 22, 54]-code) | [i] | ||
| 25 | Linear OA(2134, 156, F2, 51) (dual of [156, 22, 52]-code) | [i] | ||
| 26 | Linear OA(2130, 152, F2, 49) (dual of [152, 22, 50]-code) | [i] | ||
| 27 | Linear OA(2159, 182, F2, 58) (dual of [182, 23, 59]-code) | [i] | ||
| 28 | Linear OA(2156, 179, F2, 56) (dual of [179, 23, 57]-code) | [i] | ||
| 29 | Linear OA(2136, 159, F2, 48) (dual of [159, 23, 49]-code) | [i] | ||
| 30 | Linear OA(2140, 163, F2, 54) (dual of [163, 23, 55]-code) | [i] | ||
| 31 | Linear OA(2137, 160, F2, 52) (dual of [160, 23, 53]-code) | [i] | ||
| 32 | Linear OA(2133, 156, F2, 50) (dual of [156, 23, 51]-code) | [i] | ||
| 33 | Linear OA(2129, 152, F2, 48) (dual of [152, 23, 49]-code) | [i] | ||
| 34 | Linear OA(2169, 192, F2, 60) (dual of [192, 23, 61]-code) | [i] | ||
| 35 | Linear OA(2260, 281, F2, 113) (dual of [281, 21, 114]-code) | [i] | ||
| 36 | Linear OA(2185, 202, F2, 80) (dual of [202, 17, 81]-code) | [i] | Construction X with Varšamov Bound | |
| 37 | Linear OA(2212, 229, F2, 92) (dual of [229, 17, 93]-code) | [i] | ||
| 38 | Linear OA(2237, 285, F2, 88) (dual of [285, 48, 89]-code) | [i] | ||
| 39 | Linear OA(2241, 289, F2, 90) (dual of [289, 48, 91]-code) | [i] | ||
| 40 | Linear OA(2203, 220, F2, 88) (dual of [220, 17, 89]-code) | [i] | ||