Information on Result #1487539
Linear OOA(779, 500, F7, 3, 25) (dual of [(500, 3), 1421, 26]-NRT-code), using OOA 2-folding based on linear OOA(779, 1000, F7, 2, 25) (dual of [(1000, 2), 1921, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(779, 1001, F7, 2, 25) (dual of [(1001, 2), 1923, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(779, 1001, F7, 25) (dual of [1001, 922, 26]-code), using
- 921 step Varšamov–Edel lengthening with (ri) = (5, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 15 times 0, 1, 16 times 0, 1, 17 times 0, 1, 19 times 0, 1, 21 times 0, 1, 23 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 32 times 0, 1, 35 times 0, 1, 39 times 0, 1, 41 times 0, 1, 46 times 0, 1, 49 times 0, 1, 54 times 0, 1, 58 times 0, 1, 64 times 0, 1, 69 times 0, 1, 75 times 0) [i] based on linear OA(725, 26, F7, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,7)), using
- dual of repetition code with length 26 [i]
- 921 step Varšamov–Edel lengthening with (ri) = (5, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 15 times 0, 1, 16 times 0, 1, 17 times 0, 1, 19 times 0, 1, 21 times 0, 1, 23 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 32 times 0, 1, 35 times 0, 1, 39 times 0, 1, 41 times 0, 1, 46 times 0, 1, 49 times 0, 1, 54 times 0, 1, 58 times 0, 1, 64 times 0, 1, 69 times 0, 1, 75 times 0) [i] based on linear OA(725, 26, F7, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,7)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(779, 1001, F7, 25) (dual of [1001, 922, 26]-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.