Information on Result #1073082

Linear OOA(373, 28, F3, 4, 58) (dual of [(28, 4), 39, 59]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,53P) based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, 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(373, 28, F3, 4, 57) (dual of [(28, 4), 39, 58]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(373, 28, F3, 4, 56) (dual of [(28, 4), 39, 57]-NRT-code) [i]
3Linear OOA(373, 28, F3, 4, 55) (dual of [(28, 4), 39, 56]-NRT-code) [i]
4Linear OOA(377, 29, F3, 4, 58) (dual of [(29, 4), 39, 59]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(3185, 56, F3, 4, 117) (dual of [(56, 4), 39, 118]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
6Linear OOA(3181, 54, F3, 4, 117) (dual of [(54, 4), 35, 118]-NRT-code) [i]
7Linear OOA(3177, 52, F3, 4, 117) (dual of [(52, 4), 31, 118]-NRT-code) [i]
8Linear OOA(3115, 52, F3, 4, 58) (dual of [(52, 4), 93, 59]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(3117, 56, F3, 4, 58) (dual of [(56, 4), 107, 59]-NRT-code) [i]
10Linear OOA(3189, 57, F3, 4, 116) (dual of [(57, 4), 39, 117]-NRT-code) [i]
11Linear OOA(3192, 58, F3, 4, 116) (dual of [(58, 4), 40, 117]-NRT-code) [i]
12Linear OOA(3192, 58, F3, 4, 117) (dual of [(58, 4), 40, 118]-NRT-code) [i]
13Linear OOA(3227, 75, F3, 4, 117) (dual of [(75, 4), 73, 118]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
14Linear OOA(3231, 78, F3, 4, 117) (dual of [(78, 4), 81, 118]-NRT-code) [i]
15Linear OOA(3235, 81, F3, 4, 117) (dual of [(81, 4), 89, 118]-NRT-code) [i]
16Linear OOA(3239, 84, F3, 4, 117) (dual of [(84, 4), 97, 118]-NRT-code) [i]
17Linear OOA(3246, 86, F3, 4, 117) (dual of [(86, 4), 98, 118]-NRT-code) [i]
18Linear OOA(3226, 75, F3, 4, 116) (dual of [(75, 4), 74, 117]-NRT-code) [i]
19Linear OOA(3228, 76, F3, 4, 116) (dual of [(76, 4), 76, 117]-NRT-code) [i]
20Linear OOA(3230, 78, F3, 4, 116) (dual of [(78, 4), 82, 117]-NRT-code) [i]
21Linear OOA(3234, 81, F3, 4, 116) (dual of [(81, 4), 90, 117]-NRT-code) [i]
22Linear OOA(3238, 84, F3, 4, 116) (dual of [(84, 4), 98, 117]-NRT-code) [i]
23Linear OOA(3245, 86, F3, 4, 116) (dual of [(86, 4), 99, 117]-NRT-code) [i]
24Linear OOA(3196, 59, F3, 4, 122) (dual of [(59, 4), 40, 123]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
25Linear OOA(3212, 62, F3, 4, 137) (dual of [(62, 4), 36, 138]-NRT-code) [i]
26Linear OOA(3212, 63, F3, 4, 133) (dual of [(63, 4), 40, 134]-NRT-code) [i]
27Linear OOA(3216, 64, F3, 4, 136) (dual of [(64, 4), 40, 137]-NRT-code) [i]