Information on Result #1718086
Digital (82, 98, 10925)-net over F4, using net defined by OOA based on linear OOA(498, 10925, F4, 21, 16) (dual of [(10925, 21), 229327, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(498, 32776, F4, 3, 16) (dual of [(32776, 3), 98230, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(498, 32777, F4, 3, 16) (dual of [(32777, 3), 98233, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(498, 32777, F4, 2, 16) (dual of [(32777, 2), 65456, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(498, 65554, F4, 16) (dual of [65554, 65456, 17]-code), using
- construction X4 applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(497, 65536, F4, 17) (dual of [65536, 65439, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(481, 65536, F4, 14) (dual of [65536, 65455, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(417, 18, F4, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,4)), using
- dual of repetition code with length 18 [i]
- linear OA(41, 18, F4, 1) (dual of [18, 17, 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 X4 applied to Ce(16) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(498, 65554, F4, 16) (dual of [65554, 65456, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(498, 32777, F4, 2, 16) (dual of [(32777, 2), 65456, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(498, 32777, F4, 3, 16) (dual of [(32777, 3), 98233, 17]-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.