Information on Result #1772519
Digital (21, 29, 361)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(429, 361, F4, 8) (dual of [361, 332, 9]-code), using
- 94 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 1, 10 times 0, 1, 28 times 0, 1, 50 times 0) [i] based on linear OA(425, 263, F4, 8) (dual of [263, 238, 9]-code), using
- construction XX applied to C1 = C([254,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([254,6]) [i] based on
- linear OA(421, 255, F4, 7) (dual of [255, 234, 8]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(421, 255, F4, 7) (dual of [255, 234, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(425, 255, F4, 8) (dual of [255, 230, 9]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(417, 255, F4, 6) (dual of [255, 238, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code) (see above)
- construction XX applied to C1 = C([254,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([254,6]) [i] based on
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.