Information on Result #2274508
Linear OA(4252, 1079, F4, 63) (dual of [1079, 827, 64]-code), using 2 times code embedding in larger space based on linear OA(4250, 1077, F4, 63) (dual of [1077, 827, 64]-code), using
- construction XX applied to C1 = C([1018,52]), C2 = C([0,57]), C3 = C1 + C2 = C([0,52]), and C∩ = C1 ∩ C2 = C([1018,57]) [i] based on
- linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,52}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(4236, 1023, F4, 63) (dual of [1023, 787, 64]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,57}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(4196, 1023, F4, 53) (dual of [1023, 827, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code) (see above)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.