Information on Result #1723206
Digital (92, 111, 19926)-net over F5, using net defined by OOA based on linear OOA(5111, 19926, F5, 21, 19) (dual of [(19926, 21), 418335, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5111, 59779, F5, 3, 19) (dual of [(59779, 3), 179226, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5111, 59779, F5, 19) (dual of [59779, 59668, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(5111, 78152, F5, 19) (dual of [78152, 78041, 20]-code), using
- construction XX applied to Ce(18) ⊂ Ce(15) ⊂ Ce(13) [i] based on
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(53, 25, F5, 2) (dual of [25, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to Ce(18) ⊂ Ce(15) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(5111, 78152, F5, 19) (dual of [78152, 78041, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5111, 59779, F5, 19) (dual of [59779, 59668, 20]-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.