Information on Result #1072347

Linear OOA(251, 17, F2, 4, 36) (dual of [(17, 4), 17, 37]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,31P) based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(251, 17, F2, 4, 35) (dual of [(17, 4), 17, 36]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(251, 17, F2, 4, 34) (dual of [(17, 4), 17, 35]-NRT-code) [i]
3Linear OOA(251, 17, F2, 4, 33) (dual of [(17, 4), 17, 34]-NRT-code) [i]
4Linear OOA(2187, 51, F2, 4, 110) (dual of [(51, 4), 17, 111]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
5Linear OOA(2255, 68, F2, 4, 147) (dual of [(68, 4), 17, 148]-NRT-code) [i]
6Linear OOA(2127, 36, F2, 4, 77) (dual of [(36, 4), 17, 78]-NRT-code) [i]Juxtaposition for OOAs
7Linear OOA(2131, 37, F2, 4, 81) (dual of [(37, 4), 17, 82]-NRT-code) [i]
8Linear OOA(2135, 38, F2, 4, 83) (dual of [(38, 4), 17, 84]-NRT-code) [i]
9Linear OOA(2183, 50, F2, 4, 113) (dual of [(50, 4), 17, 114]-NRT-code) [i]
10Linear OOA(2207, 56, F2, 4, 122) (dual of [(56, 4), 17, 123]-NRT-code) [i]
11Linear OOA(2211, 57, F2, 4, 126) (dual of [(57, 4), 17, 127]-NRT-code) [i]
12Linear OOA(2215, 58, F2, 4, 130) (dual of [(58, 4), 17, 131]-NRT-code) [i]
13Linear OOA(2219, 59, F2, 4, 134) (dual of [(59, 4), 17, 135]-NRT-code) [i]
14Linear OOA(2130, 37, F2, 4, 78) (dual of [(37, 4), 18, 79]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes