Information on Result #1725476
Digital (89, 103, 1921614)-net over F7, using net defined by OOA based on linear OOA(7103, 1921614, F7, 21, 14) (dual of [(1921614, 21), 40353791, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(7103, 5764843, F7, 3, 14) (dual of [(5764843, 3), 17294426, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7103, 5764845, F7, 3, 14) (dual of [(5764845, 3), 17294432, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7103, 5764845, F7, 14) (dual of [5764845, 5764742, 15]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(76, 44, F7, 4) (dual of [44, 38, 5]-code), using
- a “GraX†code from Grassl’s database [i]
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7103, 5764845, F7, 14) (dual of [5764845, 5764742, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(7103, 5764845, F7, 3, 14) (dual of [(5764845, 3), 17294432, 15]-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.