Information on Result #1718186
Digital (69, 86, 2731)-net over F4, using net defined by OOA based on linear OOA(486, 2731, F4, 21, 17) (dual of [(2731, 21), 57265, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(486, 8194, F4, 3, 17) (dual of [(8194, 3), 24496, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(486, 8196, F4, 3, 17) (dual of [(8196, 3), 24502, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(486, 8196, F4, 2, 17) (dual of [(8196, 2), 16306, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(486, 16392, F4, 17) (dual of [16392, 16306, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(478, 16384, F4, 15) (dual of [16384, 16306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(41, 8, F4, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(486, 16392, F4, 17) (dual of [16392, 16306, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(486, 8196, F4, 2, 17) (dual of [(8196, 2), 16306, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(486, 8196, F4, 3, 17) (dual of [(8196, 3), 24502, 18]-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.