Information on Result #1718150
Digital (118, 134, 699054)-net over F4, using net defined by OOA based on linear OOA(4134, 699054, F4, 21, 16) (dual of [(699054, 21), 14680000, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4134, 2097163, F4, 3, 16) (dual of [(2097163, 3), 6291355, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4134, 2097164, F4, 3, 16) (dual of [(2097164, 3), 6291358, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4134, 2097164, F4, 2, 16) (dual of [(2097164, 2), 4194194, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4134, 4194328, F4, 16) (dual of [4194328, 4194194, 17]-code), using
- construction X4 applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(4133, 4194304, F4, 17) (dual of [4194304, 4194171, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4111, 4194304, F4, 14) (dual of [4194304, 4194193, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(423, 24, F4, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,4)), using
- dual of repetition code with length 24 [i]
- linear OA(41, 24, F4, 1) (dual of [24, 23, 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(4134, 4194328, F4, 16) (dual of [4194328, 4194194, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4134, 2097164, F4, 2, 16) (dual of [(2097164, 2), 4194194, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4134, 2097164, F4, 3, 16) (dual of [(2097164, 3), 6291358, 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.