Information on Result #1718728
Digital (96, 117, 3127)-net over F4, using net defined by OOA based on linear OOA(4117, 3127, F4, 27, 21) (dual of [(3127, 27), 84312, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4117, 12509, F4, 3, 21) (dual of [(12509, 3), 37410, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4117, 12512, F4, 3, 21) (dual of [(12512, 3), 37419, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4117, 12512, F4, 21) (dual of [12512, 12395, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4117, 16423, F4, 21) (dual of [16423, 16306, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4116, 16422, F4, 21) (dual of [16422, 16306, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(410, 38, F4, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4116, 16422, F4, 21) (dual of [16422, 16306, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4117, 16423, F4, 21) (dual of [16423, 16306, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4117, 12512, F4, 21) (dual of [12512, 12395, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(4117, 12512, F4, 3, 21) (dual of [(12512, 3), 37419, 22]-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.