Information on Result #1736516
Digital (46, 62, 77660)-net over F25, using net defined by OOA based on linear OOA(2562, 77660, F25, 18, 16) (dual of [(77660, 18), 1397818, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2562, 310641, F25, 2, 16) (dual of [(310641, 2), 621220, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2562, 310643, F25, 2, 16) (dual of [(310643, 2), 621224, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2562, 310643, F25, 16) (dual of [310643, 310581, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2562, 390634, F25, 16) (dual of [390634, 390572, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(2562, 390634, F25, 16) (dual of [390634, 390572, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2562, 310643, F25, 16) (dual of [310643, 310581, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(2562, 310643, F25, 2, 16) (dual of [(310643, 2), 621224, 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.