Information on Result #610091

Linear OA(225, 28, F2, 15) (dual of [28, 3, 16]-code), using repeating each code word 4 times based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), 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.

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(224, 27, F2, 14) (dual of [27, 3, 15]-code) [i]Truncation
2Linear OA(2260, 284, F2, 111) (dual of [284, 24, 112]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2131, 155, F2, 47) (dual of [155, 24, 48]-code) [i]Construction X with De Boer–Brouwer Codes
4Linear OA(2130, 155, F2, 46) (dual of [155, 25, 47]-code) [i]
5Linear OA(2260, 283, F2, 111) (dual of [283, 23, 112]-code) [i]
6Linear OA(2172, 196, F2, 59) (dual of [196, 24, 60]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes
7Linear OA(2169, 193, F2, 57) (dual of [193, 24, 58]-code) [i]
8Linear OA(2154, 178, F2, 51) (dual of [178, 24, 52]-code) [i]
9Linear OA(2149, 173, F2, 49) (dual of [173, 24, 50]-code) [i]
10Linear OA(2153, 177, F2, 55) (dual of [177, 24, 56]-code) [i]
11Linear OA(2146, 170, F2, 51) (dual of [170, 24, 52]-code) [i]
12Linear OA(2142, 166, F2, 49) (dual of [166, 24, 50]-code) [i]
13Linear OA(2171, 196, F2, 58) (dual of [196, 25, 59]-code) [i]
14Linear OA(2168, 193, F2, 56) (dual of [193, 25, 57]-code) [i]
15Linear OA(2152, 177, F2, 54) (dual of [177, 25, 55]-code) [i]
16Linear OA(2145, 170, F2, 50) (dual of [170, 25, 51]-code) [i]
17Linear OA(2141, 166, F2, 48) (dual of [166, 25, 49]-code) [i]
18Linear OA(2234, 284, F2, 82) (dual of [284, 50, 83]-code) [i]Construction X with VarÅ¡amov Bound
19Linear OA(2248, 297, F2, 88) (dual of [297, 49, 89]-code) [i]
20Linear OOA(225, 14, F2, 2, 15) (dual of [(14, 2), 3, 16]-NRT-code) [i]OOA Folding