Information on Result #938110

Linear OOA(8127, 66, F8, 2, 117) (dual of [(66, 2), 5, 118]-NRT-code), using construction X applied to AG(2;F,10P) ⊂ AG(2;F,13P) based on
  1. linear OOA(8125, 64, F8, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
  2. linear OOA(8123, 64, F8, 2, 114) (dual of [(64, 2), 5, 115]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OOA(82, 2, F8, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), 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(8127, 66, F8, 2, 116) (dual of [(66, 2), 5, 117]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(8127, 66, F8, 2, 115) (dual of [(66, 2), 5, 116]-NRT-code) [i]
3Linear OOA(8122, 63, F8, 2, 112) (dual of [(63, 2), 4, 113]-NRT-code) [i]Truncation for OOAs
4Linear OOA(8121, 63, F8, 2, 111) (dual of [(63, 2), 5, 112]-NRT-code) [i]
5Linear OOA(8120, 62, F8, 2, 110) (dual of [(62, 2), 4, 111]-NRT-code) [i]
6Linear OOA(8119, 62, F8, 2, 109) (dual of [(62, 2), 5, 110]-NRT-code) [i]
7Linear OOA(8118, 61, F8, 2, 108) (dual of [(61, 2), 4, 109]-NRT-code) [i]
8Linear OOA(8117, 61, F8, 2, 107) (dual of [(61, 2), 5, 108]-NRT-code) [i]
9Linear OOA(8116, 60, F8, 2, 106) (dual of [(60, 2), 4, 107]-NRT-code) [i]
10Linear OOA(8115, 60, F8, 2, 105) (dual of [(60, 2), 5, 106]-NRT-code) [i]
11Linear OOA(8114, 59, F8, 2, 104) (dual of [(59, 2), 4, 105]-NRT-code) [i]
12Linear OOA(8113, 59, F8, 2, 103) (dual of [(59, 2), 5, 104]-NRT-code) [i]
13Linear OOA(8112, 58, F8, 2, 102) (dual of [(58, 2), 4, 103]-NRT-code) [i]
14Linear OOA(8111, 58, F8, 2, 101) (dual of [(58, 2), 5, 102]-NRT-code) [i]
15Linear OOA(8110, 57, F8, 2, 100) (dual of [(57, 2), 4, 101]-NRT-code) [i]
16Linear OOA(8109, 57, F8, 2, 99) (dual of [(57, 2), 5, 100]-NRT-code) [i]
17Linear OOA(8108, 56, F8, 2, 98) (dual of [(56, 2), 4, 99]-NRT-code) [i]
18Linear OOA(8107, 56, F8, 2, 97) (dual of [(56, 2), 5, 98]-NRT-code) [i]
19Linear OOA(8106, 55, F8, 2, 96) (dual of [(55, 2), 4, 97]-NRT-code) [i]
20Linear OOA(8105, 55, F8, 2, 95) (dual of [(55, 2), 5, 96]-NRT-code) [i]
21Linear OOA(8104, 54, F8, 2, 94) (dual of [(54, 2), 4, 95]-NRT-code) [i]
22Linear OOA(8103, 54, F8, 2, 93) (dual of [(54, 2), 5, 94]-NRT-code) [i]
23Linear OOA(8102, 53, F8, 2, 92) (dual of [(53, 2), 4, 93]-NRT-code) [i]
24Linear OOA(8101, 53, F8, 2, 91) (dual of [(53, 2), 5, 92]-NRT-code) [i]
25Linear OOA(8100, 52, F8, 2, 90) (dual of [(52, 2), 4, 91]-NRT-code) [i]
26Linear OOA(899, 52, F8, 2, 89) (dual of [(52, 2), 5, 90]-NRT-code) [i]
27Linear OOA(898, 51, F8, 2, 88) (dual of [(51, 2), 4, 89]-NRT-code) [i]
28Linear OOA(897, 51, F8, 2, 87) (dual of [(51, 2), 5, 88]-NRT-code) [i]
29Linear OOA(896, 50, F8, 2, 86) (dual of [(50, 2), 4, 87]-NRT-code) [i]
30Linear OOA(895, 50, F8, 2, 85) (dual of [(50, 2), 5, 86]-NRT-code) [i]
31Linear OOA(894, 49, F8, 2, 84) (dual of [(49, 2), 4, 85]-NRT-code) [i]
32Linear OOA(893, 49, F8, 2, 83) (dual of [(49, 2), 5, 84]-NRT-code) [i]
33Linear OOA(892, 48, F8, 2, 82) (dual of [(48, 2), 4, 83]-NRT-code) [i]
34Linear OOA(891, 48, F8, 2, 81) (dual of [(48, 2), 5, 82]-NRT-code) [i]
35Linear OOA(890, 47, F8, 2, 80) (dual of [(47, 2), 4, 81]-NRT-code) [i]
36Linear OOA(889, 47, F8, 2, 79) (dual of [(47, 2), 5, 80]-NRT-code) [i]
37Linear OOA(888, 46, F8, 2, 78) (dual of [(46, 2), 4, 79]-NRT-code) [i]
38Linear OOA(887, 46, F8, 2, 77) (dual of [(46, 2), 5, 78]-NRT-code) [i]