Information on Result #1726530
Digital (84, 109, 3648)-net over F7, using net defined by OOA based on linear OOA(7109, 3648, F7, 27, 25) (dual of [(3648, 27), 98387, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(7109, 14593, F7, 3, 25) (dual of [(14593, 3), 43670, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7109, 14594, F7, 3, 25) (dual of [(14594, 3), 43673, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7109, 14594, F7, 25) (dual of [14594, 14485, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(7109, 16825, F7, 25) (dual of [16825, 16716, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(7106, 16807, F7, 25) (dual of [16807, 16701, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(73, 18, F7, 2) (dual of [18, 15, 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(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(7109, 16825, F7, 25) (dual of [16825, 16716, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7109, 14594, F7, 25) (dual of [14594, 14485, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(7109, 14594, F7, 3, 25) (dual of [(14594, 3), 43673, 26]-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.