Information on Result #1724822
Digital (26, 34, 8409)-net over F7, using net defined by OOA based on linear OOA(734, 8409, F7, 10, 8) (dual of [(8409, 10), 84056, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(734, 16819, F7, 2, 8) (dual of [(16819, 2), 33604, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(734, 16820, F7, 2, 8) (dual of [(16820, 2), 33606, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(734, 16820, F7, 8) (dual of [16820, 16786, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(721, 16807, F7, 5) (dual of [16807, 16786, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(73, 13, F7, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(734, 16820, F7, 8) (dual of [16820, 16786, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(734, 16820, F7, 2, 8) (dual of [(16820, 2), 33606, 9]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.