Information on Result #1491502
Linear OOA(8167, 2453, F8, 3, 47) (dual of [(2453, 3), 7192, 48]-NRT-code), using OOA 2-folding based on linear OOA(8167, 4906, F8, 2, 47) (dual of [(4906, 2), 9645, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8167, 4907, F8, 2, 47) (dual of [(4907, 2), 9647, 48]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8167, 4907, F8, 47) (dual of [4907, 4740, 48]-code), using
- 4739 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 19 times 0, 1, 21 times 0, 1, 21 times 0, 1, 23 times 0, 1, 24 times 0, 1, 25 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 34 times 0, 1, 35 times 0, 1, 36 times 0, 1, 39 times 0, 1, 40 times 0, 1, 43 times 0, 1, 44 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 53 times 0, 1, 56 times 0, 1, 59 times 0, 1, 62 times 0, 1, 65 times 0, 1, 67 times 0, 1, 71 times 0, 1, 75 times 0, 1, 77 times 0, 1, 82 times 0, 1, 85 times 0, 1, 90 times 0, 1, 93 times 0, 1, 99 times 0, 1, 102 times 0, 1, 108 times 0, 1, 112 times 0, 1, 118 times 0, 1, 124 times 0, 1, 129 times 0, 1, 135 times 0, 1, 142 times 0, 1, 149 times 0, 1, 155 times 0, 1, 162 times 0, 1, 171 times 0, 1, 178 times 0, 1, 186 times 0, 1, 195 times 0, 1, 205 times 0, 1, 214 times 0) [i] based on linear OA(847, 48, F8, 47) (dual of [48, 1, 48]-code or 48-arc in PG(46,8)), using
- dual of repetition code with length 48 [i]
- 4739 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 19 times 0, 1, 21 times 0, 1, 21 times 0, 1, 23 times 0, 1, 24 times 0, 1, 25 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 34 times 0, 1, 35 times 0, 1, 36 times 0, 1, 39 times 0, 1, 40 times 0, 1, 43 times 0, 1, 44 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 53 times 0, 1, 56 times 0, 1, 59 times 0, 1, 62 times 0, 1, 65 times 0, 1, 67 times 0, 1, 71 times 0, 1, 75 times 0, 1, 77 times 0, 1, 82 times 0, 1, 85 times 0, 1, 90 times 0, 1, 93 times 0, 1, 99 times 0, 1, 102 times 0, 1, 108 times 0, 1, 112 times 0, 1, 118 times 0, 1, 124 times 0, 1, 129 times 0, 1, 135 times 0, 1, 142 times 0, 1, 149 times 0, 1, 155 times 0, 1, 162 times 0, 1, 171 times 0, 1, 178 times 0, 1, 186 times 0, 1, 195 times 0, 1, 205 times 0, 1, 214 times 0) [i] based on linear OA(847, 48, F8, 47) (dual of [48, 1, 48]-code or 48-arc in PG(46,8)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8167, 4907, F8, 47) (dual of [4907, 4740, 48]-code), using
Mode: 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
None.